Paper Citation Record · LEDGER

Simple Modules over Second Quantum Weyl Algebra

As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.17261.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.17261 v1

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T05:52:40.836377Z

measured 38 of 38 standing notices

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Reference resolution

38 of 38 outbound references displayed

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Outbound references

Observation bdbc4b74-ddc7-46c4-8178-9ccc5ce078d0 · outbound

This paper cites an unresolved cited work.

Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:52:41.313213Z

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Observation 7f5d382e-ca59-48bc-878f-d123d27969fa · outbound

This paper cites SECOND QUANTUM WEYL ALGEBRA 3 2.1.

Simple Modules over Second Quantum Weyl Algebra SECOND QUANTUM WEYL ALGEBRA 3 2.1

Reference 2

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Observation f1ca73d1-d97c-415d-9c40-a4eeeabad82f · outbound

This paper cites In [18, Theorem 3.1], we determined the PI degree under the divisibil- ity condition.

Simple Modules over Second Quantum Weyl Algebra In [18, Theorem 3.1], we determined the PI degree under the divisibil- ity condition

Reference 3

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Observation 54912729-a3df-404c-8460-b51a339a921d · outbound

This paper cites Suppose /u1D440is a simple /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module.

Simple Modules over Second Quantum Weyl Algebra Suppose /u1D440is a simple /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module

Reference 4

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Observation 42cef532-ad3e-4124-bb69-a1ca7392def1 · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 5

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Observation 3ef1abcb-8a3c-4d3e-97d7-dc5abbdf5b67 · outbound

This paper cites Suppose /u1D713: V1(/u1D707 ) → V 1(/u1D707′) is a module isomorphism.

Simple Modules over Second Quantum Weyl Algebra Suppose /u1D713: V1(/u1D707 ) → V 1(/u1D707′) is a module isomorphism

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:41.256556Z

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Observation 96f74bf3-a959-45f6-9de6-2d4d3e730fcd · outbound

This paper cites an unresolved cited work.

Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 7

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Observation c3bef072-87d5-4712-ab73-ae2a93e79c3e · outbound

This paper cites Note that /u1D719is a bĳection.

Simple Modules over Second Quantum Weyl Algebra Note that /u1D719is a bĳection

Reference 8

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Observation 93247230-16cd-48d2-afdf-3466ff4e0f2e · outbound

This paper cites It can be easily verify that /u1D719is an /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module isomorphism.

Simple Modules over Second Quantum Weyl Algebra It can be easily verify that /u1D719is an /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module isomorphism

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:41.220112Z

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Observation fd35d684-e67b-470d-8176-486944e3b48d · outbound

This paper cites This means the actions of /u1D4671 and /u1D4672 on /u1D440are invertible.

Simple Modules over Second Quantum Weyl Algebra This means the actions of /u1D4671 and /u1D4672 on /u1D440are invertible

Reference 10

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Observation 2919c33a-a1a3-4a60-8846-0a905da9693c · outbound

This paper cites Denote /u1D451:= lcm(/u1D4591, /u1D4593).

Simple Modules over Second Quantum Weyl Algebra Denote /u1D451:= lcm(/u1D4591, /u1D4593)

Reference 11

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Observation 4a4e00e9-2232-4515-bc3c-779e98320a2d · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 12

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Observation ea0190c3-c77a-43c3-a4e1-defed6d7f26a · outbound

This paper cites This means that the operator /u1D4671 is invertible on /u1D440, while the operator /u1D4672 is zero on /u1D440.

Simple Modules over Second Quantum Weyl Algebra This means that the operator /u1D4671 is invertible on /u1D440, while the operator /u1D4672 is zero on /u1D440

Reference 13

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Observation 055666d1-8a8d-4abf-a663-6cec214aa730 · outbound

This paper cites Thus by Schur’s lemma, /u1D7195 becomes a module isomorphism.

Simple Modules over Second Quantum Weyl Algebra Thus by Schur’s lemma, /u1D7195 becomes a module isomorphism

Reference 14

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Observation 3b92a481-57c7-4cd0-9406-24dee0206592 · outbound

This paper cites This means that the action of /u1D4671 on /u1D440 is zero.

Simple Modules over Second Quantum Weyl Algebra This means that the action of /u1D4671 on /u1D440 is zero

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:41.151754Z

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Observation da6c5e4e-0cbe-4c72-9c9b-fe32fbdd32f2 · outbound

This paper cites Alev and F.

Simple Modules over Second Quantum Weyl Algebra Alev and F

Reference 16

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Observation 9fa0b96a-4e5c-4869-9ef0-d750841759ef · outbound

This paper cites Akhavizadegan and D.

Simple Modules over Second Quantum Weyl Algebra Akhavizadegan and D

Reference 17

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Observation 3fc7b8b4-8e5e-4405-b2e2-18de7c76c0f4 · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 18

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 19

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Observation c758c5cd-8afc-4ecf-98c2-037570297ddb · outbound

This paper cites Boyette , M.

Simple Modules over Second Quantum Weyl Algebra Boyette , M

Reference 20

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Observation e80896ce-9082-4c54-a66c-fe653523db97 · outbound

This paper cites De Concini and C.

Simple Modules over Second Quantum Weyl Algebra De Concini and C

Reference 21

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Observation fff94965-b34d-48db-aa53-c6144d5186de · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:52:41.063739Z

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Observation d3cb43d6-141e-41b9-a35d-c62ff0da181d · outbound

This paper cites Giaquinto and J.

Simple Modules over Second Quantum Weyl Algebra Giaquinto and J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:41.050593Z

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Observation e09303aa-baaa-4853-aebc-5a161cf89a68 · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T05:52:40.778265Z

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Observation 11263bc5-4bed-4432-8d8c-8f2cff724a3f · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 25

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Observation 7a892cbe-cc7e-4639-8d5c-a61dc3239e73 · outbound

This paper cites Heider and L.

Simple Modules over Second Quantum Weyl Algebra Heider and L

Reference 26

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Observation a1a877a7-81a2-4078-9808-4e1630e10768 · outbound

This paper cites Jordan, Finite-dimensional simple modules ov er certain iterated skew polynomial rings, J.

Simple Modules over Second Quantum Weyl Algebra Jordan, Finite-dimensional simple modules ov er certain iterated skew polynomial rings, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:41.002728Z

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Observation aec0fc86-fa26-491a-8515-3755bdcfbd43 · outbound

This paper cites Jordan, A simple localization of the quantized Weyl a lgebra, J.

Simple Modules over Second Quantum Weyl Algebra Jordan, A simple localization of the quantized Weyl a lgebra, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:40.991584Z

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Observation ade7958e-56e0-47b9-b1c0-6cf9649bbe1c · outbound

This paper cites Leroy and J.

Simple Modules over Second Quantum Weyl Algebra Leroy and J

Reference 29

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Observation bf91833c-3cc0-4aeb-b48c-1fb2943b9647 · outbound

This paper cites an unresolved cited work.

Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 30

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Observation b86eaaa9-4cf8-4572-b1cc-072e4f72df1e · outbound

This paper cites Maltsiniotis, Groupes quantique et structures diﬀé rentielles, C.

Simple Modules over Second Quantum Weyl Algebra Maltsiniotis, Groupes quantique et structures diﬀé rentielles, C

Reference 31

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Observation fd1e748f-8c23-43a0-b4a7-9bc7d363c0ad · outbound

This paper cites Mukherjee, S.

Simple Modules over Second Quantum Weyl Algebra Mukherjee, S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:40.945794Z

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Observation 0744b6ec-d9fc-4c53-bc4b-74a8d793ef59 · outbound

This paper cites Mukherjee, S.

Simple Modules over Second Quantum Weyl Algebra Mukherjee, S

Reference 33

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Observation 66f9d50d-a624-4da2-b6c7-f2f80f6ba199 · outbound

This paper cites Newman, Integral Matrices, Pure and Applied Mathematics 45, Academic Press, New Y ork, 1972.

Simple Modules over Second Quantum Weyl Algebra Newman, Integral Matrices, Pure and Applied Mathematics 45, Academic Press, New Y ork, 1972

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:40.920082Z

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Observation 95e25f6d-3bfc-4acb-9380-752291eca6f2 · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 35

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Observation 7dc61060-bddb-4132-877b-45c3411d0b34 · outbound

This paper cites Rigal, Spectre de l’algébre de Weyl Quantique, Beitrage Algebra Geom., 37, (1996), 119-148.

Simple Modules over Second Quantum Weyl Algebra Rigal, Spectre de l’algébre de Weyl Quantique, Beitrage Algebra Geom., 37, (1996), 119-148

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:40.895071Z

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Observation 0488cf14-755a-47bf-b596-39f286bd6f40 · outbound

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Simple Modules over Second Quantum Weyl Algebra Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:52:40.883161Z

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Observation a03e5327-dfd1-45fb-84b3-6ac671104985 · outbound

This paper cites Walton, An invitation to Noncommutative Algebra, Assoc.

Simple Modules over Second Quantum Weyl Algebra Walton, An invitation to Noncommutative Algebra, Assoc

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:52:40.871163Z

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