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Paper Citation Record · LEDGER

Jordan types for pairs of commuting nilpotent matrices: A survey

As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2606.02026.

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

pith.paper-citation-record.v1
2606.02026 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T11:54:35.118566Z

measured 56 of 56 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

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Reference resolution

56 of 56 outbound references displayed

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Outbound references

Observation 681d1f2a-4e3b-458d-b5e1-53678f31c544 · outbound

This paper cites Altafi, A.

Jordan types for pairs of commuting nilpotent matrices: A survey Altafi, A

Reference 1

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Observation afdc49af-9114-4926-85e0-374c4ff17477 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 2

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Observation 4f4491b7-6608-4414-bb9b-0c35bb3b94be · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 3

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Observation 6bd5a84c-8877-4cb0-8a22-4924ab277d35 · outbound

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Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 4

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Observation 06de37bb-1a62-4934-a2b3-9ad715e28dab · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 5

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Observation e10c1309-7fa6-4686-9681-e53df7fafd09 · outbound

This paper cites Baranovsky,The variety of pairs of commuting nilpotent matrices is irreducible,Trans- form.

Jordan types for pairs of commuting nilpotent matrices: A survey Baranovsky,The variety of pairs of commuting nilpotent matrices is irreducible,Trans- form

Reference 6

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Observation 4c40610d-d4e9-4be2-979e-3b9c318066c2 · outbound

This paper cites Basili.On the irreducibility of varieties of commuting matrices.J.

Jordan types for pairs of commuting nilpotent matrices: A survey Basili.On the irreducibility of varieties of commuting matrices.J

Reference 7

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Observation a102ad7d-41ad-4928-9273-c9921901e4d6 · outbound

This paper cites Basili.On the irreducibility of commuting varieties of nilpotent matrices.J.

Jordan types for pairs of commuting nilpotent matrices: A survey Basili.On the irreducibility of commuting varieties of nilpotent matrices.J

Reference 8

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Observation c64e81f1-7456-4998-bbc3-e16de2d1c83d · outbound

This paper cites Basili.On the maximal nilpotent orbit that intersects the centralizer of a matrix.Trans- form.

Jordan types for pairs of commuting nilpotent matrices: A survey Basili.On the maximal nilpotent orbit that intersects the centralizer of a matrix.Trans- form

Reference 9

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Observation 6af6fb26-f78d-420c-8d7e-1d1ca05a4e5d · outbound

This paper cites Basili, A.

Jordan types for pairs of commuting nilpotent matrices: A survey Basili, A

Reference 10

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Observation 6539c75c-5508-4965-aa81-5a06e4ca1c7b · outbound

This paper cites Basili, A.

Jordan types for pairs of commuting nilpotent matrices: A survey Basili, A

Reference 11

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Observation 21bd74c4-e3d5-40ed-8e8b-11a54483c1d4 · outbound

This paper cites Bogdani´ c, A.

Jordan types for pairs of commuting nilpotent matrices: A survey Bogdani´ c, A

Reference 12

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Observation d15ee2bb-d5dd-4910-8610-ec5feb247273 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 13

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Observation 9c9bfe28-3038-4691-a3eb-d3ceeedd39c3 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 14

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Observation 8557b671-77df-4051-a0d6-5b4ee69e0e0b · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 15

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Observation 8a7d6cec-fe03-4868-8d22-4a717bbc9bfe · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 16

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Observation 818d1f3e-d58a-4e88-89bc-8891b7e7ddb2 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 17

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:37bf6549a0381df2bb47d52de5a219ae7b17151d75d5bde25e70c806482d83f6

Observation 666c653b-174f-4317-acf7-bf9f1f34b901 · outbound

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Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 18

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Observation dc4491b4-9ce3-42ef-938b-a26b564b412f · outbound

This paper cites Frobenius.

Jordan types for pairs of commuting nilpotent matrices: A survey Frobenius

Reference 19

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Observation 0757e2c9-df3f-4ca2-99c8-4d6bb6e92aba · outbound

This paper cites Frobenius.

Jordan types for pairs of commuting nilpotent matrices: A survey Frobenius

Reference 20

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:d0e0277255320e6d44c97b6d0338022fe27bbb1ce032d1157ef7e392b573672a

Observation 9f544b9a-3eea-4a34-becb-23628a2ecf4f · outbound

This paper cites Ganyushkin, V.

Jordan types for pairs of commuting nilpotent matrices: A survey Ganyushkin, V

Reference 21

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:67dcde5fac1ec950f3faf766a350eaf8f4f6b0dde82fd0b70b4d4228a4d77abc

Observation 010430d0-810b-4595-9c91-5e4dcd3976e8 · outbound

This paper cites Gerstenhaber.On dominance and varieties of commuting matrices.Ann.

Jordan types for pairs of commuting nilpotent matrices: A survey Gerstenhaber.On dominance and varieties of commuting matrices.Ann

Reference 22

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Observation 2efca767-afe4-4cb7-b0a9-5eeed1d78ee7 · outbound

This paper cites Goddard.Commuting varieties and nilpotent orbits.Ph.D.

Jordan types for pairs of commuting nilpotent matrices: A survey Goddard.Commuting varieties and nilpotent orbits.Ph.D

Reference 23

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Observation b53aa37f-8f4c-4d56-8468-447d4a42cf03 · outbound

This paper cites Gohberg, P.

Jordan types for pairs of commuting nilpotent matrices: A survey Gohberg, P

Reference 24

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:04c9297d3aa222ba472d060567450b2a9cc5de8af348df48211f9248f2224387

Observation 6e7cf667-3280-4f13-b0ff-22b22b57a9ca · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 25

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Observation 75febb0b-7223-4d31-9108-0ffbc621701f · outbound

This paper cites Iarrobino, L.

Jordan types for pairs of commuting nilpotent matrices: A survey Iarrobino, L

Reference 26

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Observation 0f365975-d40f-4fb3-be9b-e946463cee7d · outbound

This paper cites Iarrobino, L.

Jordan types for pairs of commuting nilpotent matrices: A survey Iarrobino, L

Reference 27

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Observation 59ec683d-7706-402c-b0dd-fb56220a40ef · outbound

This paper cites A Generalized Burge Correspondence and $k$-measure of Partitions.

Jordan types for pairs of commuting nilpotent matrices: A survey A Generalized Burge Correspondence and $k$-measure of Partitions

Reference 28

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:98fbc8858b4a94525e84df2aeb2f6c5c06c3610559f199c3266443fae87b63b6

Observation 5824c398-d70c-4c6d-b5c5-bb70fea545ba · outbound

This paper cites A Proof of the Box Conjecture for Commuting Pairs of Matrices.

Jordan types for pairs of commuting nilpotent matrices: A survey A Proof of the Box Conjecture for Commuting Pairs of Matrices

Reference 29

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:ccae91bbd7f0f983d82ae8a5ff8aaed23eb1e96a797c418e6c598dc2c23d349e

Observation 506ee8f3-8406-44b9-ab36-9e8b53e3a285 · outbound

This paper cites Khatami.The poset of the nilpotent commutator of a nilpotent matrix.Linear Algebra Appl.439(2013), no.

Jordan types for pairs of commuting nilpotent matrices: A survey Khatami.The poset of the nilpotent commutator of a nilpotent matrix.Linear Algebra Appl.439(2013), no

Reference 30

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Observation b612c96b-1275-4739-bf66-b1fa5ea386f2 · outbound

This paper cites Khatami.The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix.J.

Jordan types for pairs of commuting nilpotent matrices: A survey Khatami.The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix.J

Reference 31

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Observation ee6f86bd-1b23-48de-a1eb-5cfad445765d · outbound

This paper cites Khatami.Commuting Jordan types: a survey.Contemp.

Jordan types for pairs of commuting nilpotent matrices: A survey Khatami.Commuting Jordan types: a survey.Contemp

Reference 32

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:c2933cea673f972d1ded15d3f1ea347c6e822814c394577dc222d88c9e94ad17

Observation a6c436a0-b3d2-4c68-a3bd-ed4b18260f15 · outbound

This paper cites Jordan types commuting with a hook partition.

Jordan types for pairs of commuting nilpotent matrices: A survey Jordan types commuting with a hook partition

Reference 33

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:46ee5bed1df1c45dc9bb60de6089bbdffa2662f09aeafc6eab8927b748633e39

Observation f1fcf1f4-6746-4f7a-8c74-a2dd3d577cde · outbound

This paper cites Konieczny.Semigroups of Transformations Commuting with Injective Nilpotents.Com- munications in Algebra32(2004), No.

Jordan types for pairs of commuting nilpotent matrices: A survey Konieczny.Semigroups of Transformations Commuting with Injective Nilpotents.Com- munications in Algebra32(2004), No

Reference 34

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Observation 60c91b00-d7eb-4769-aacc-15edf73a1b92 · outbound

This paper cites Konieczny.The structure of centralizers in the finite symmetric inverse semigroup.Com- munications in Algebra,48(2020), No.12, 5181-5194.

Jordan types for pairs of commuting nilpotent matrices: A survey Konieczny.The structure of centralizers in the finite symmetric inverse semigroup.Com- munications in Algebra,48(2020), No.12, 5181-5194

Reference 35

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Observation 31a261ac-3b2a-44e3-b682-ac01cc2220ea · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 36

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Observation ab24908c-23e0-4103-836c-eb9a39503ed0 · outbound

This paper cites Koˇ sir, P.

Jordan types for pairs of commuting nilpotent matrices: A survey Koˇ sir, P

Reference 37

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Observation cf37fb01-ce2b-433f-9bb9-e693f4483bc1 · outbound

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Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 38

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:931cc7a6809bfe6e503f024085359468a8913b2135d88d325391e8792d68f017

Observation 13ecaba3-fc98-4971-b094-b4df1f5aa6a9 · outbound

This paper cites Lipscomb.Symmetric Inverse Semigroups.Math.

Jordan types for pairs of commuting nilpotent matrices: A survey Lipscomb.Symmetric Inverse Semigroups.Math

Reference 39

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:0b7888dab4a7ea8ae2fdcb2863c196af1d3cd1fe876fea57bc6661902b6a4fff

Observation 02ff748b-ec17-4ea9-a42a-2b85cf6764e2 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 40

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:8e2dfc02498219da220de68c148e6dabced0cd4fbf6f8902f887e6ffaa7ac1db

Observation e73c9ca0-9fca-4934-b1c0-9ba78d43b35a · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 41

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:0d01fd9826265563f6237e15c826f92e72bf0bd89bb626c28417da1d15bddae3

Observation acaf087a-cc37-418c-8924-46b1f5b9c2d6 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 42

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:493c0303ffebc1e1e3bb8458e069dbb99ae18b3cd23ae44e469eff9310d5eda6

Observation ec886a9b-96bc-4e31-a201-2268882d9970 · outbound

This paper cites Oblak.The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix.Lin.

Jordan types for pairs of commuting nilpotent matrices: A survey Oblak.The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix.Lin

Reference 43

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no resolver link, observed 2026-06-28T11:54:35.118566Z

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:80057006ce03b878663aee85c6ce7557e562ed9e098677991f26114ba96a6878

Observation 86d0ff83-0dfd-4c40-994c-d02e5166ae02 · outbound

This paper cites Oblak.Jordan forms for mutually annihilating nilpotent pairs.Lin.

Jordan types for pairs of commuting nilpotent matrices: A survey Oblak.Jordan forms for mutually annihilating nilpotent pairs.Lin

Reference 44

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:65f759a2d3627e6852f1a5af582b33144984dd5e5bf89ac3228f03576288c97c

Observation 3dd4a0cd-669c-45e4-9a14-f33836ecb190 · outbound

This paper cites Oblak.On the nilpotent commutator of a nilpotent matrix.Lin.

Jordan types for pairs of commuting nilpotent matrices: A survey Oblak.On the nilpotent commutator of a nilpotent matrix.Lin

Reference 45

Resolution
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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:6506d5a085fdccfa57dce79efb64532ac6d020b8a7009b676a7203fec8a5a2c3

Observation 30254838-e26f-49b4-a980-7f5f715408d8 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 46

Resolution
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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:957fa70932548c79d62e5d25021ad685ca1e7736ef8dde678af0c4cbbbf7e19a

Observation 3099f9cb-e9a7-4a7a-9e28-b22fd46b4985 · outbound

This paper cites Plemelj.Ein Satz ¨Uber vertauschbare Matrizen und seine Anwendung in der Theorie linearer Differentialgleichnungen.Monatshefte Math.

Jordan types for pairs of commuting nilpotent matrices: A survey Plemelj.Ein Satz ¨Uber vertauschbare Matrizen und seine Anwendung in der Theorie linearer Differentialgleichnungen.Monatshefte Math

Reference 47

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:f0d2f56710103cd70096577d3422142ebc65f002a6effd7b92856568e26c8776

Observation dcdf469b-21ab-4a9f-91d5-2c6a110f45f5 · outbound

This paper cites Premet.Nilpotent commuting varieties of reductive Lie algebras.Invent.

Jordan types for pairs of commuting nilpotent matrices: A survey Premet.Nilpotent commuting varieties of reductive Lie algebras.Invent

Reference 48

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:c6519992743e1d4c5fc0c8f385f92ca782db46dac7ce821bd41055291ed28636

Observation c2e1486d-7891-4eca-a4fe-1a1fc5276009 · outbound

This paper cites Schur.Zur Theorie der vertauschbaren Matrizen.J.

Jordan types for pairs of commuting nilpotent matrices: A survey Schur.Zur Theorie der vertauschbaren Matrizen.J

Reference 49

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:90ca81b1bb3ebbbd88e61652ce31d72ce62373991767dd7c29f98181ae34f713

Observation 0158c401-ee70-4254-9db4-e677f489cd50 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 50

Resolution
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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:5438fc9d1605f945e676f673968fbecafcb44edf5f2ca1791435af64af48746e

Observation e7a5de55-66d6-4ca2-8403-5ee17b329951 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 51

Resolution
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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:3ad637dbf14a76152f17375d8528af064910637e4a360d6a0b7fa700663626b3

Observation f1d17ace-0c13-4039-a4a9-127fa7b0dc31 · outbound

This paper cites Solomon.Representations of the rook monoid.J.

Jordan types for pairs of commuting nilpotent matrices: A survey Solomon.Representations of the rook monoid.J

Reference 52

Resolution
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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:a1b028f91e082b00c7bbe92213f6aa8c1e0470978c4b9b215937c713195444a0

Observation 9bf14c0e-4fc6-476c-b812-329e12affe13 · outbound

This paper cites an unresolved cited work.

Jordan types for pairs of commuting nilpotent matrices: A survey Unresolved cited work

Reference 53

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:ba105dda4ab2fd0cdd94957ba1b7847496b54fe79d1b41b55c48e3a032c7d587

Observation 0b7f0ab9-f1a7-4b7d-8d2b-a0efb06ed5bd · outbound

This paper cites Sylvester.Sur les quantit´ es formant un groupe de nonions analogues aux quaternions de Hamilton.Acad.

Jordan types for pairs of commuting nilpotent matrices: A survey Sylvester.Sur les quantit´ es formant un groupe de nonions analogues aux quaternions de Hamilton.Acad

Reference 54

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:dd2ac8d8613ededccbea3b3f08bdaeb87e83936df44c35fc0525c2c4af5247ad

Observation c093417b-0566-405d-8d48-ffc41ed97825 · outbound

This paper cites Taber.On the Matrical EquationΦΩ = ΩΦ.Proc.

Jordan types for pairs of commuting nilpotent matrices: A survey Taber.On the Matrical EquationΦΩ = ΩΦ.Proc

Reference 55

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:3c033e6e0ea1a33fca685c9f5438cf7a703b5f6a4ed75e61aeacb7a7dc2597cc

Observation 54518e2c-5198-46d9-b23e-086cbfcdac7d · outbound

This paper cites Taber.On a Theorem of Sylvester’s Relating to Non-degenerate Matrices.Proc.

Jordan types for pairs of commuting nilpotent matrices: A survey Taber.On a Theorem of Sylvester’s Relating to Non-degenerate Matrices.Proc

Reference 56

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source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:0c870aacaf36174078d172c4405959dca851e12ba6e9ec48bca4ec5a2568144d

Pith citing papers

No inbound Pith citation observations are available.