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Paper Citation Record · LEDGER

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements

As of 10 August 2026, this Paper Citation Record lists 97 of 97 outbound references and 0 inbound Pith citation observations for arXiv:2506.08883.

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pith.paper-citation-record.v1
2506.08883 v2

Coverage vector

measured 97 of 97 reference resolution

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Reference resolution

97 of 97 outbound references displayed

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Outbound references

Observation 4346fb09-d2ef-43fd-871b-d1f4682a66db · outbound

This paper cites Statistics on parallelogram poly- ominoes and a q, t-analogue of the Narayana numbers.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Statistics on parallelogram poly- ominoes and a q, t-analogue of the Narayana numbers

Reference 1

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Observation 238eb5d6-4200-43f6-bf04-263ac34903f7 · outbound

This paper cites Axelrod-Freed, S.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Axelrod-Freed, S

Reference 2

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Observation e9261818-f811-4bf8-85da-794fe70b5dae · outbound

This paper cites Bastidas, S.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Bastidas, S

Reference 3

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Observation 86ccbbf3-c171-44c1-99bf-2f2ae6a92d25 · outbound

This paper cites The poset of conjugacy classes and decomposition of products in the symmetric group.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The poset of conjugacy classes and decomposition of products in the symmetric group

Reference 4

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Observation c21f0032-fccf-4e0e-ab47-c4cae977f58c · outbound

This paper cites b-enumeration of maps and Jack polynomials.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements b-enumeration of maps and Jack polynomials

Reference 5

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Observation c4af8eb8-a0b9-4869-8b93-d15c76898236 · outbound

This paper cites An analogue of the Harer–Zagier formula for unicellular maps on general surfaces.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements An analogue of the Harer–Zagier formula for unicellular maps on general surfaces

Reference 6

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Observation 37f9c9bf-35f9-43e7-946e-67b540057314 · outbound

This paper cites Bijections and symmetries for the factorizations of the long cycle.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Bijections and symmetries for the factorizations of the long cycle

Reference 7

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Observation 5ac7c30b-fd2b-409d-a3e2-8beb989e1544 · outbound

This paper cites Some probabilistic trees with algebraic roots.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Some probabilistic trees with algebraic roots

Reference 8

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Observation ef44368b-81b2-48aa-b9fc-2502ff4a3c9f · outbound

This paper cites Finite complex reflection arrangements are K(π, 1).

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Finite complex reflection arrangements are K(π, 1)

Reference 9

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This paper cites Minimal factorizations of a cycle and central multiplicative functions on the infinite sym- metric group.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Minimal factorizations of a cycle and central multiplicative functions on the infinite sym- metric group

Reference 10

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 11

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Observation da793afd-52c6-41eb-aceb-bee223f46b75 · outbound

This paper cites Enumeration of planar constellations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Enumeration of planar constellations

Reference 12

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This paper cites Brauner, P.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Brauner, P

Reference 13

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This paper cites Invariant theory for the free left-regular band and a q- analogue.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Invariant theory for the free left-regular band and a q- analogue

Reference 14

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This paper cites Cavalieri and E.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Cavalieri and E

Reference 15

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Observation c5d7cf96-0199-4920-8b34-cbc5c777f10d · outbound

This paper cites Counting factorizations of Coxeter elements into products of reflections.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Counting factorizations of Coxeter elements into products of reflections

Reference 16

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Observation 5660c2bd-c089-4976-996e-aae4daf362d0 · outbound

This paper cites Non-orientable branched coverings,b-Hurwitz numbers, and positivity for multiparametric Jack expansions.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Non-orientable branched coverings,b-Hurwitz numbers, and positivity for multiparametric Jack expansions

Reference 17

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Observation 3f2674c8-710b-4d7b-ab27-11477f074548 · outbound

This paper cites A simple model of trees for unicellular maps.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A simple model of trees for unicellular maps

Reference 18

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Observation 5b09c0f7-81f6-4c19-8750-5cc010eae4ea · outbound

This paper cites Evaluations of Hecke algebra traces at Kazhdan- Lusztig basis elements.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Evaluations of Hecke algebra traces at Kazhdan- Lusztig basis elements

Reference 19

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Observation ed0ae186-aa60-42a0-87a3-16e93b3fd19c · outbound

This paper cites TotalnonnegativityandinducedsigncharactersoftheHeckealgebra.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements TotalnonnegativityandinducedsigncharactersoftheHeckealgebra

Reference 20

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Observation f1d5b1a3-fa5a-4718-9654-3b6470ddb0f4 · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Content evaluation and class symmetric functions

Reference 21

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This paper cites The representation of a permutation as the product of a minimal number of transpositions, and its connection with the theory of graphs.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The representation of a permutation as the product of a minimal number of transpositions, and its connection with the theory of graphs

Reference 22

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Observation 9894a003-9e3c-40cf-9fad-2590cd32b715 · outbound

This paper cites Applications of Murphy’s elements.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Applications of Murphy’s elements

Reference 23

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Observation 159014ff-2df0-45ef-91ef-12e66d7c96a4 · outbound

This paper cites Blocks and idempotents of Hecke algebras of general linear groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Blocks and idempotents of Hecke algebras of general linear groups

Reference 24

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Observation 486c9de8-f0c2-4a6e-abd9-87e5c4ee7598 · outbound

This paper cites On enumerating factorizations in reflection groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements On enumerating factorizations in reflection groups

Reference 25

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Observation cb5658c9-b4c6-4314-a9cf-9ae0fc4c88cf · outbound

This paper cites Categorical diagonalization of full twists.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Categorical diagonalization of full twists

Reference 26

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Observation 46e65308-dd73-44c0-86d8-6294bb23b0dc · outbound

This paper cites The centres of symmetric group rings.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The centres of symmetric group rings

Reference 27

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Observation b8b8fc91-a7f5-4c78-b325-aef37b8e9091 · outbound

This paper cites On complete functions in Jucys-Murphy elements.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements On complete functions in Jucys-Murphy elements

Reference 28

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Observation 53d67828-087d-4d13-a563-6617255d7369 · outbound

This paper cites Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson

Reference 29

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Observation 1f1ce686-0728-495e-923e-7bbfc87a7ffe · outbound

This paper cites Centres of Hecke algebras: the Dipper–James conjecture.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Centres of Hecke algebras: the Dipper–James conjecture

Reference 30

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Observation fd493599-bfbf-4914-a9f2-c6c0d4a6cb31 · outbound

This paper cites Partial Jucys–Murphy elements and star factorizations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Partial Jucys–Murphy elements and star factorizations

Reference 31

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Observation f871faf5-f82d-4e90-8c35-f09c2e3a12a2 · outbound

This paper cites Rational noncrossing Coxeter–Catalan combi- natorics.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Rational noncrossing Coxeter–Catalan combi- natorics

Reference 32

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Observation a830d5ee-d516-48bd-9bdd-564a6c58c812 · outbound

This paper cites A remarkableq, t-Catalan sequence andq-Lagrange inversion.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A remarkableq, t-Catalan sequence andq-Lagrange inversion

Reference 33

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Observation e134ab16-b1c6-4701-a5b2-1b2e3394b903 · outbound

This paper cites Young’s Seminormal Representation, Murphy Elements, and Content Evaluations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Young’s Seminormal Representation, Murphy Elements, and Content Evaluations

Reference 34

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Observation 20f49de2-5e10-49e8-976d-e88fa348ec7b · outbound

This paper cites On the Irreducible Characters of Hecke Algebras.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements On the Irreducible Characters of Hecke Algebras

Reference 35

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Observation 68c13572-c1c1-46c8-9206-0e71e3699768 · outbound

This paper cites Centers and simple modules for Iwahori-Hecke algebras.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Centers and simple modules for Iwahori-Hecke algebras

Reference 36

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Observation 61543a3b-108e-4951-a3f6-e40b65d20465 · outbound

This paper cites The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group

Reference 37

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Observation 1c71feab-eb8e-4bbe-b0cd-5ee2e1dc4eb3 · outbound

This paper cites Transitive powers of Young-Jucys-Murphy elements are central.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Transitive powers of Young-Jucys-Murphy elements are central

Reference 38

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Observation ed8cc576-4050-4830-807f-c84a9773d022 · outbound

This paper cites Transitive factorisations into transpositions and holomorphic mappings on the sphere.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Transitive factorisations into transpositions and holomorphic mappings on the sphere

Reference 39

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Observation cdc1b2ba-74be-4ac2-8b6a-11c73e638a02 · outbound

This paper cites Monotone Hurwitz numbers in genus zero.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Monotone Hurwitz numbers in genus zero

Reference 40

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Observation db7a39ba-aed8-476d-aacd-f8b5b9d4a541 · outbound

This paper cites Polynomiality of monotone Hurwitz numbers in higher genera.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Polynomiality of monotone Hurwitz numbers in higher genera

Reference 41

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Observation 09d0907c-0bd8-44d7-a03c-804149ac96bf · outbound

This paper cites Towards the geometry of double Hurwitz numbers.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Towards the geometry of double Hurwitz numbers

Reference 42

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Observation 7707c138-cf26-4af4-9368-5496c7947941 · outbound

This paper cites Factoring n-cycles and counting maps of given genus.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Factoring n-cycles and counting maps of given genus

Reference 43

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Observation 4d69f5ce-b97f-4c39-b419-994face8704e · outbound

This paper cites Hopf Algebras in Combinatorics.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Hopf Algebras in Combinatorics

Reference 44

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Observation d8dc7b11-2c7a-4ab9-bd08-8f1cab57e135 · outbound

This paper cites Algebraic methods and monotone Hurwitz numbers.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Algebraic methods and monotone Hurwitz numbers

Reference 45

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Observation ebc42c05-c5d1-465b-b799-d8bef97d9d06 · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 46

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source=pdf_text observed=2026-08-07T05:17:26.141857Z digest=sha256:66f4ae6675186da8175e552c20327f8ebb7e51d3909fa3e3a9e19de403963561

Observation e29d1a5d-dd97-4ed9-a80b-235540f45658 · outbound

This paper cites Hecke algebra characters and immanant conjectures.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Hecke algebra characters and immanant conjectures

Reference 47

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source=pdf_text observed=2026-08-07T05:17:26.145550Z digest=sha256:58663f7c4383e07dd7a4d44d45f4657ed9523388ea574aa0e71b585ef8e2602e

Observation 6068762d-3936-40fe-8da6-78aac1fc0860 · outbound

This paper cites Conjectures on the quotient ring by diagonal invariants.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Conjectures on the quotient ring by diagonal invariants

Reference 48

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source=pdf_text observed=2026-08-07T05:17:26.149195Z digest=sha256:4c8433e5e42aae9ed299374df06731bec250dc9629b3f7c5f74ce0758716c0fb

Observation 660208a0-cde0-4a0c-a646-ddaee22fdf31 · outbound

This paper cites Iwahori-Hecke algebras of type A, bitraces and symmetric functions.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Iwahori-Hecke algebras of type A, bitraces and symmetric functions

Reference 49

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Observation a3191a05-f89b-48d8-bfcf-c8d6669ceebf · outbound

This paper cites Bitraces for GLn (Fq) and the Iwahori-Hecke algebra of type An- 1.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Bitraces for GLn (Fq) and the Iwahori-Hecke algebra of type An- 1

Reference 50

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Observation 0b207ff5-5597-4d34-8536-7aeeb9c5f7ab · outbound

This paper cites q-rook monoid algebras, Hecke algebras, and Schur–Weyl duality.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements q-rook monoid algebras, Hecke algebras, and Schur–Weyl duality

Reference 51

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Observation 627a2ee0-a84c-46f5-91cb-f4883228a6d8 · outbound

This paper cites The Euler characteristic of the moduli space of curves.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The Euler characteristic of the moduli space of curves

Reference 52

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source=pdf_text observed=2026-08-07T05:17:26.165043Z digest=sha256:6b99498b87acbff193ff9d81eab46629203b852f2fce5230c785c093762b1137

Observation 9ef7f9da-42d7-4640-8b5d-dea08331a6f7 · outbound

This paper cites Quantum Hurwitz numbers and Macdonald polynomials.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Quantum Hurwitz numbers and Macdonald polynomials

Reference 53

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Observation fa7aef28-a17f-4de4-b62c-6c9b450f3e90 · outbound

This paper cites Absolute order in general linear groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Absolute order in general linear groups

Reference 54

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source=pdf_text observed=2026-08-07T05:17:26.172340Z digest=sha256:4071e0072735792164fa821aae8db129866c51dbf093350bc1fd277e12504d4d

Observation 6d1690cd-de05-42eb-8e2c-2e3120691289 · outbound

This paper cites Ueber Riemann’sche Flächen mit gegebenen Verzweigungspunkten.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Ueber Riemann’sche Flächen mit gegebenen Verzweigungspunkten

Reference 55

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source=pdf_text observed=2026-08-07T05:17:26.176174Z digest=sha256:d7b90433597721aa2f1ac1f55ddf612195808ef77ea27036f0943b24f9079b95

Observation 282e8ccb-564d-4a35-9c75-30fb24fd5d6f · outbound

This paper cites Minimal factorizations of permutations into star transpositions.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Minimal factorizations of permutations into star transpositions

Reference 56

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source=pdf_text observed=2026-08-07T05:17:26.180251Z digest=sha256:7bf9710f13907aabeacb07cbc3b0fd640eefc3c95001103def0ae996f7802f32

Observation 3c92a3eb-0abf-423c-aa27-0ea930ced55e · outbound

This paper cites Counting cycles in permutations by group characters, with an application to a topological problem.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Counting cycles in permutations by group characters, with an application to a topological problem

Reference 57

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source=pdf_text observed=2026-08-07T05:17:26.184157Z digest=sha256:e4b7f33eed757a614574acdcf835b1a7bf14b4e2e71fca4f1d3eab13958f57cd

Observation a4739ff3-3c86-4e55-89fb-f8b9375b957a · outbound

This paper cites Some combinatorial problems associated with products of conjugacy classes of the symmetric group.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Some combinatorial problems associated with products of conjugacy classes of the symmetric group

Reference 58

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Observation da2b0feb-d41c-4076-97d4-6bc09c95a9b3 · outbound

This paper cites Symmetric polynomials and the center of the symmetric group ring.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Symmetric polynomials and the center of the symmetric group ring

Reference 59

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Observation d5a8cc78-01cf-4930-a85a-779ac5ff9bac · outbound

This paper cites Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra

Reference 60

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Observation f7d7b0ae-ef9b-42d0-9281-2c8de4d87070 · outbound

This paper cites Generating functions for Hecke algebra characters.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Generating functions for Hecke algebra characters

Reference 61

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Observation daaf2ee9-9911-401f-8181-679d3398078a · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 62

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source=pdf_text observed=2026-08-07T05:17:26.203545Z digest=sha256:89e300a1f8142b7750dc536c2a0c4e3f0958552bf34436ce6acaa57762b4474a

Observation e565a33e-f2cd-416a-b6a6-9af486785f44 · outbound

This paper cites Factorization problems in complex reflection groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Factorization problems in complex reflection groups

Reference 63

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Observation 63bca14d-3652-4d9c-bd41-c0306efba938 · outbound

This paper cites Reflection factorizations of Singer cycles.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Reflection factorizations of Singer cycles

Reference 64

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Observation 62794124-b67a-4391-8182-43ec59905e73 · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 65

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source=pdf_text observed=2026-08-07T05:17:26.214845Z digest=sha256:2b907dcaa8fc4a28566a46b233c250a591eaa7c0e1ee9d5994192c17e6e6e027

Observation c9904b27-423d-4049-930c-9009bdd44e0a · outbound

This paper cites GLn(Fq)-analogues of factorization problems in the symmetric group.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements GLn(Fq)-analogues of factorization problems in the symmetric group

Reference 66

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Observation 31e7d6bf-6c88-4196-bd83-64e06f49001c · outbound

This paper cites Reflection factorizations of Singer cycles.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Reflection factorizations of Singer cycles

Reference 67

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Observation d748f704-8be1-4a86-bf1a-1e5b69ad09bd · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 68

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Observation 74733b14-2fda-4b90-93cb-f240a0ad2c40 · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-07T05:17:26.230288Z digest=sha256:da50eaed1c5bc04998da960b3a82b480f91fdd08abdf64eb18348d62fe6f0bd5

Observation e158ee14-6e9b-46d5-aa59-7b3f28cc47fa · outbound

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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 70

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source=pdf_text observed=2026-08-07T05:17:26.234306Z digest=sha256:13f90565f38d6d3c69000ef119f068da9153a5c7d45a4d5731af5c9682649282

Observation dffda2b8-8792-440f-92a4-ce5291a7293e · outbound

This paper cites Jucys-Murphy elements and unitary matrix integrals.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Jucys-Murphy elements and unitary matrix integrals

Reference 71

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source=pdf_text observed=2026-08-07T05:17:26.238225Z digest=sha256:7543a3154f8a1d8c093d13982bd977f40e4ccb0807650e07a174739bb5f8a649

Observation ad4aba03-f125-4093-ab3f-a6081c74f2a1 · outbound

This paper cites Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed per- mutations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed per- mutations

Reference 72

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:17:26.241850Z digest=sha256:207a010a749f0002e67c7e5da2d0ca799a361a514126f9136eea39d10136b2fc

Observation b8b8ecf7-0260-45d0-a597-ed7ddddd44b1 · outbound

This paper cites Combinatorics of colored factorizations, flow polytopes and of matrices over finite fields.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Combinatorics of colored factorizations, flow polytopes and of matrices over finite fields

Reference 73

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source=pdf_text observed=2026-08-07T05:17:26.245404Z digest=sha256:81974d40dbbe3c884941615a59ca7e63724be2c064099a3c3a05cc6c1c3d2d86

Observation d1b76c03-5387-462e-a3c1-5f615c0195be · outbound

This paper cites A Solution to a Problem of Dénes: a Bijection Between Trees and Factorizations of Cyclic Permutations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A Solution to a Problem of Dénes: a Bijection Between Trees and Factorizations of Cyclic Permutations

Reference 74

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source=pdf_text observed=2026-08-07T05:17:26.248886Z digest=sha256:3b217b2ecada415e7ab394013385d9203503f2eb17b852e4d825caf84c439042

Observation b42e2ea4-00bf-4102-adc4-294bda624b97 · outbound

This paper cites A new construction of Young’s seminormal representation of the symmetric groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A new construction of Young’s seminormal representation of the symmetric groups

Reference 75

Resolution
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source=pdf_text observed=2026-08-07T05:17:26.252365Z digest=sha256:6760d5606347688fe1e79b3d84a406ed2a2578535aef7873904b06af63cc3f56

Observation 447eace8-3858-446d-a75b-e042d4ea1484 · outbound

This paper cites A Frobenius formula for the characters of the Hecke algebras.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A Frobenius formula for the characters of the Hecke algebras

Reference 76

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doi, observed 2026-08-07T05:17:26.515983Z

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source=pdf_text observed=2026-08-07T05:17:26.255918Z digest=sha256:99b30e3ad0ea5f62ac03738f02d684fdac4b7f2cef51e568e291812a54eeceb0

Observation 212fac43-3e8a-4139-b6f5-0eca15703307 · outbound

This paper cites Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A

Reference 77

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local_arxiv, observed 2026-08-07T05:17:27.341062Z

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source=pdf_text observed=2026-08-07T05:17:26.259427Z digest=sha256:bea3f14043d1e537b1d622eb1610947f2c4b8e54f1cbda735bfefa0d191bc269

Observation 3814d3b0-ff80-4195-bfa3-0823cfb3c53b · outbound

This paper cites Lusztig varieties and Macdonald polynomials.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Lusztig varieties and Macdonald polynomials

Reference 78

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local_arxiv, observed 2026-08-07T05:17:27.322966Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:17:26.263264Z digest=sha256:d4216fb1c301da250013b048f1415c37d692000da6a15b5d1ad01970e1cc885b

Observation 2e525b1d-45ee-4776-b45f-e8baad14c089 · outbound

This paper cites The cyclic sieving phenomenon.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements The cyclic sieving phenomenon

Reference 79

Resolution
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doi, observed 2026-08-07T05:17:26.503534Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:17:26.267200Z digest=sha256:57db60047810fa9071c9ba4a81a2d1bd970c7f8514c63e33ac89e7c80a228728

Observation 0acbc6f9-a16a-42ac-a1ad-5fdb1518ebf5 · outbound

This paper cites Stable Centres I: Wreath Products.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Stable Centres I: Wreath Products

Reference 80

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source=pdf_text observed=2026-08-07T05:17:26.270970Z digest=sha256:91630ac569f460dedc9670e7d19726dd23e272cb2dadab62d8c8a56b1536b0c9

Observation 8bb4a59f-226a-4764-aea0-348dfeae1f35 · outbound

This paper cites Stable Centres of Iwahori-Hecke Algebras of Type A.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Stable Centres of Iwahori-Hecke Algebras of Type A

Reference 81

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doi, observed 2026-08-07T05:17:26.490677Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:17:26.274976Z digest=sha256:4b7712244a5f64ef1cd117b7ff9e4c8e115fa0da0589f9dd62e07c8e94980680

Observation c5048419-6232-4f19-a89a-ea80901bf7ac · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 82

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source=pdf_text observed=2026-08-07T05:17:26.279024Z digest=sha256:5b911036c9313ca9ab96d5e8748fe18c80613a71bebb017f95efccd59cc4d93e

Observation 02400c39-1010-4c51-8e65-81015981f9c1 · outbound

This paper cites Planar Maps.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Planar Maps

Reference 83

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source=pdf_text observed=2026-08-07T05:17:26.282897Z digest=sha256:2ce98c357ea7538b0e81f8fe7ae11ef17d976d253926b6a27312d31a892f6d35

Observation 39541fa2-2bbf-437b-bf43-1cc2d93aae92 · outbound

This paper cites AbijectiveproofofJackson’sformulaforthenumberoffactorizationsof a cycle.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements AbijectiveproofofJackson’sformulaforthenumberoffactorizationsof a cycle

Reference 84

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doi, observed 2026-08-07T05:17:26.456014Z

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source=pdf_text observed=2026-08-07T05:17:26.286612Z digest=sha256:79e2c29985fdf1cd25a2206dd6de79e92f811bdf7823a3a852f9c07e34b382d9

Observation d191979d-0c4f-47d2-b24a-2061ceb00661 · outbound

This paper cites Finite unitary reflection groups.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Finite unitary reflection groups

Reference 85

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source=pdf_text observed=2026-08-07T05:17:26.290175Z digest=sha256:0b043f1d2ae447e6710e9d2385913b1eaed35ed359f2c1732eb2f334245908dd

Observation 7b5fd3bd-923e-40cf-ac56-4b905636c9ef · outbound

This paper cites Factorization of permutations inton-cycles.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Factorization of permutations inton-cycles

Reference 86

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source=pdf_text observed=2026-08-07T05:17:26.293871Z digest=sha256:d37395f838821911395070a9c0c509f07ac13299570a586dc4897701d1b46f35

Observation 5347541f-f922-45ec-8a34-80620229e3a5 · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 87

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source=pdf_text observed=2026-08-07T05:17:26.302574Z digest=sha256:1524148e68755b32a2d249ca73e5fa83e08623485202d6b82d4e0dcf7c477ed3

Observation 10a115ce-a90e-487d-9114-7a9234542338 · outbound

This paper cites Parking functions and noncrossing partitions.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Parking functions and noncrossing partitions

Reference 88

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source=pdf_text observed=2026-08-07T05:17:26.306172Z digest=sha256:8f2936cd9f99e1c5aef786a22f04da1d966d2505738e5b34e79a882285934235

Observation 3f44f75d-cd93-4658-bef4-9f09bd604fe3 · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 89

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source=pdf_text observed=2026-08-07T05:17:26.310298Z digest=sha256:df724c897ede7b3f7389f69a8ebb93a1ebecd28a3c2970eaa02ee6d8388ef444

Observation 86fe66eb-f3e2-4744-9d20-064d2e98b13d · outbound

This paper cites A combinatorial proof of symmetry among minimal star factorizations.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements A combinatorial proof of symmetry among minimal star factorizations

Reference 90

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doi, observed 2026-08-07T05:17:26.395409Z

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source=pdf_text observed=2026-08-07T05:17:26.314096Z digest=sha256:5b52004a78ac18e674d38bea3f6e2cb2917329c3b985a93b4702ec946474b082

Observation 118061f9-cb3f-4537-958a-3693f064b9c4 · outbound

This paper cites Star factorizations and noncrossing partitions.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Star factorizations and noncrossing partitions

Reference 91

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source=pdf_text observed=2026-08-07T05:17:26.317834Z digest=sha256:5ed5ecfaf3447e8aa4eac3ea98184afe4cac8f9f11825fbac2b99282886a6f9d

Observation 757c436e-807b-4dd2-a4f1-eb607290ce44 · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 92

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source=pdf_text observed=2026-08-07T05:17:26.321624Z digest=sha256:fa8313a936ce64a3e18d5c0cc5c2416f2d78e2afd5c2a6e03e1464e2b959f7c6

Observation d522666d-6452-42ee-a44b-0017e25cd00c · outbound

This paper cites SageMath, the Sage Mathematics Software System (Version 10.6).

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements SageMath, the Sage Mathematics Software System (Version 10.6)

Reference 93

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source=pdf_text observed=2026-08-07T05:17:26.325219Z digest=sha256:85d7d1e0f35dd411e89548ebedfebd12e3ce2a5ef9e51bd8ac4a90830bd36176

Observation 6453e573-5591-48b0-b51d-63c9abfa8614 · outbound

This paper cites Frobenius map for the centers of Hecke algebras.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Frobenius map for the centers of Hecke algebras

Reference 94

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doi, observed 2026-08-07T05:17:26.381877Z

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source=pdf_text observed=2026-08-07T05:17:26.328802Z digest=sha256:c59d4f895ddef62b940df1630fab707d3f86438d03daa449e53362a434f2d893

Observation 4c2e9169-e030-4f03-a428-43fc41967795 · outbound

This paper cites 1931: On Quantitative Substitutional Analysis (Sixth Paper).

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements 1931: On Quantitative Substitutional Analysis (Sixth Paper)

Reference 95

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doi, observed 2026-08-07T05:17:26.368432Z

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source=pdf_text observed=2026-08-07T05:17:26.332537Z digest=sha256:b58e34d6646d33f2a8a5d11347c58f15920d1777f3228ea0643c9e2910185f35

Observation 8cfe3b16-4ebf-46d0-b955-50a496578f42 · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 262

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source=pdf_text observed=2026-08-07T05:17:26.298424Z digest=sha256:f52f211583a5e4564f5fbbbadd51a185db5de82a5ba51a1b6f5beb88e3f34c6d

Observation cdc17323-58f5-4fa6-87b1-df76ccd01e7b · outbound

This paper cites an unresolved cited work.

Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements Unresolved cited work

Reference 707

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doi, observed 2026-08-07T05:17:26.944206Z

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source=pdf_text observed=2026-08-07T05:17:26.074789Z digest=sha256:2f26286cd1a376103827ccce62433f520eb1d54387b45a881ff21813c7445d1c

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