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Paper Citation Record · LEDGER

The index of Lie poset algebras

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.06573.

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

pith.paper-citation-record.v1
1908.06573 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:56.072555Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation b0e28041-f118-4989-a8db-3c5d2d7fcc6c · outbound

This paper cites Minimum rank of skew-symmetric matrices describ ed by a graph.

The index of Lie poset algebras Minimum rank of skew-symmetric matrices describ ed by a graph

Reference 1

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Observation d6945575-3121-4e94-8261-56f13d940ae0 · outbound

This paper cites Solutions of the classical Yang-Baxte r equations for simple Lie algebas.

The index of Lie poset algebras Solutions of the classical Yang-Baxte r equations for simple Lie algebas

Reference 2

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Observation 79c9a3c2-ff9d-4e7b-bb49-48f4f76f7e66 · outbound

This paper cites The unbroken spectrum of Frobenius se aweeds III: type- D.

The index of Lie poset algebras The unbroken spectrum of Frobenius se aweeds III: type- D

Reference 3

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Observation 0468203f-f1c0-4c48-87af-92abe2a82851 · outbound

This paper cites Combinatorial index formulas for Lie algebras of seaweed type.

The index of Lie poset algebras Combinatorial index formulas for Lie algebras of seaweed type

Reference 4

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Observation ca022782-7613-455d-a63f-f6f74d29f667 · outbound

This paper cites The unbroken spectrum of Frobenius seaweeds II: type-B and type-C.

The index of Lie poset algebras The unbroken spectrum of Frobenius seaweeds II: type-B and type-C

Reference 5

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Observation bdacec48-1007-4028-b59e-98d63e379229 · outbound

This paper cites Meander grap hs and Frobenius seaweed algebras III.

The index of Lie poset algebras Meander grap hs and Frobenius seaweed algebras III

Reference 6

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Observation 18bc4ed5-a0d1-4a5c-8ec5-181aae12bb9b · outbound

This paper cites Cohomology of Lie semidirect prod ucts and poset algebras.

The index of Lie poset algebras Cohomology of Lie semidirect prod ucts and poset algebras

Reference 7

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Observation c0f81207-20d8-4dd2-a903-7085f61dbe5f · outbound

This paper cites Meanders and Frobenius seaw eed Lie algebras.

The index of Lie poset algebras Meanders and Frobenius seaw eed Lie algebras

Reference 8

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Observation 63fee8bf-57f5-4943-be0a-3389944e3084 · outbound

This paper cites The unbroken spectrum of t ype-A Frobenius seaweeds.

The index of Lie poset algebras The unbroken spectrum of t ype-A Frobenius seaweeds

Reference 9

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Observation d2a4364a-8d4e-4182-b3ce-40e28c541a72 · outbound

This paper cites Symplectic meanders.

The index of Lie poset algebras Symplectic meanders

Reference 10

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Observation 48e85810-f957-4eae-94d2-ecbe42b68290 · outbound

This paper cites Meander graphs a nd Frobenius seaweed Lie algebras II.

The index of Lie poset algebras Meander graphs a nd Frobenius seaweed Lie algebras II

Reference 11

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Observation 75bde561-d58f-4c4c-a230-ce67ae6e8aa4 · outbound

This paper cites Index of Lie algebras of seaweed t ype.

The index of Lie poset algebras Index of Lie algebras of seaweed t ype

Reference 12

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Observation 231b46bd-646f-46ed-aa5d-a3b9e98f55d4 · outbound

This paper cites On properties of principal elements of Frobenius Lie alge- bras.

The index of Lie poset algebras On properties of principal elements of Frobenius Lie alge- bras

Reference 13

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This paper cites Enveloping Algebras.

The index of Lie poset algebras Enveloping Algebras

Reference 14

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This paper cites On the index of parabolic subalgebras of semisimple Lie algebras.

The index of Lie poset algebras On the index of parabolic subalgebras of semisimple Lie algebras

Reference 15

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Observation 89ca6a02-b35c-4805-97c7-a6ef2795c904 · outbound

This paper cites On regular cohomologies of bipara bolic subalgebras of sl(n).

The index of Lie poset algebras On regular cohomologies of bipara bolic subalgebras of sl(n)

Reference 16

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Observation 7bf21ca1-9875-4f6e-b375-c42ed33c5031 · outbound

This paper cites A user’s guide to discrete Morse theory.

The index of Lie poset algebras A user’s guide to discrete Morse theory

Reference 17

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Observation 3204483e-6332-4dde-9e88-b56438e824bb · outbound

This paper cites Boundary solutions of the classical Yang-Baxter equation.

The index of Lie poset algebras Boundary solutions of the classical Yang-Baxter equation

Reference 18

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Observation 927be54e-1c5c-4ab4-b229-f9c6136e3b1f · outbound

This paper cites Graphs, Frobenius functionals, and the classical Yang-Baxter equation.

The index of Lie poset algebras Graphs, Frobenius functionals, and the classical Yang-Baxter equation

Reference 19

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Source-reported events for the cited work

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Observation f9508cc8-6d51-4ccf-95ff-93f047c10d06 · outbound

This paper cites The principal element of a F robenius Lie alge- bra.

The index of Lie poset algebras The principal element of a F robenius Lie alge- bra

Reference 20

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Observation 5925737d-e078-40f8-ace5-8e26c1e7d149 · outbound

This paper cites Simplicial cohomology is Hochs child cohomology.

The index of Lie poset algebras Simplicial cohomology is Hochs child cohomology

Reference 21

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This paper cites Triangular algebras.

The index of Lie poset algebras Triangular algebras

Reference 22

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The index of Lie poset algebras Topics in algebraic deformation theory

Reference 23

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The index of Lie poset algebras Unresolved cited work

Reference 24

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The index of Lie poset algebras Karnauhova

Reference 25

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Observation ab7b8e89-57b9-46d9-9b18-60573cdafec4 · outbound

This paper cites (Co)Homology of poset Lie algebr as.

The index of Lie poset algebras (Co)Homology of poset Lie algebr as

Reference 26

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Observation 3e547df9-adae-42f1-b252-511dba12497e · outbound

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The index of Lie poset algebras Triangularity in Operator Algebras

Reference 27

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Observation c4f3fb6f-a0d5-41dc-83bd-e44644d4ec45 · outbound

This paper cites The index of Lie poset algebras.

The index of Lie poset algebras The index of Lie poset algebras

Reference 28

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Observation 68aab295-e24b-4ee5-b268-e2f11bbd0397 · outbound

This paper cites Rings with several objects.

The index of Lie poset algebras Rings with several objects

Reference 29

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The index of Lie poset algebras On Frobenius Lie algebras

Reference 30

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Observation 94d5a84c-bd41-4c8b-802d-6daa895f2e89 · outbound

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The index of Lie poset algebras Inductive formulas for the index of seaweed L ie algebras

Reference 31

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Observation d350f473-1fcf-4d2e-bcf7-220cee8e4569 · outbound

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The index of Lie poset algebras On seaweed subalgebras and m eander graphs in type C

Reference 32

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The index of Lie poset algebras On seaweed subalgebras and m eander graphs in type D

Reference 33

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Observation 2a4bb2e0-3100-4bf7-a181-092afc502797 · outbound

This paper cites On the foundations of combinatorial theory, I: The ory of Mobius functions.

The index of Lie poset algebras On the foundations of combinatorial theory, I: The ory of Mobius functions

Reference 34

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Observation 399bee19-92ec-460a-bd7e-278c34c5e7ed · outbound

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The index of Lie poset algebras Unresolved cited work

Reference 35

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Observation 5e379700-b007-4619-a3fd-720a2026e244 · outbound

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The index of Lie poset algebras Unresolved cited work

Reference 36

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b309d941-fc5b-4941-84a5-d4010159c304 · outbound

This paper cites an unresolved cited work.

The index of Lie poset algebras Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:56:56.445874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:55.995805Z digest=sha256:66bc3bc2bc3620f6cf237e75d7e361b82a8853ddf16df0345df25237166048a0

Observation 91cc27b0-8346-4518-8797-0873367bdb53 · outbound

This paper cites Finally, perform the following row operations.

The index of Lie poset algebras Finally, perform the following row operations

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:56.419889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.006391Z digest=sha256:07c0e24b7c2efd3782e15bfb04574ecff8e567f7dbac3c6388cc53583f296fd7

Observation c1061dc9-4a79-4daa-8ccf-14e9f99198ec · outbound

This paper cites an unresolved cited work.

The index of Lie poset algebras Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:56:56.393215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.017534Z digest=sha256:137e21c8fcefcaef1aa120050429889770b524625b498d423c08010d051fda68

Observation eb780407-0d9e-4ccf-827b-1533b2b5427d · outbound

This paper cites an unresolved cited work.

The index of Lie poset algebras Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:56:56.357291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.028053Z digest=sha256:4958cd6969c9f2a965f7547f027ff814640989318dfc5e99b0d6c3779485d5af

Observation 4c68efc7-1d24-4eed-9e1e-00245f2f1a37 · outbound

This paper cites squeeze-play.

The index of Lie poset algebras squeeze-play

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:56.324659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.047452Z digest=sha256:087a345cce905a362fca4d65a5a133b78c4225f9fface463cc4297c1d26ac9ff

Observation a0820ac4-ce22-48d9-a323-c031c80734aa · outbound

This paper cites an unresolved cited work.

The index of Lie poset algebras Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:56:56.298610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.059678Z digest=sha256:741487c244b420c3cf2d47b4e3a618404f4c1d974d99964ba8e59c747f7ad423

Observation 80dca68d-6ce2-4211-a015-75a4e96697e0 · outbound

This paper cites We will work in gl(n) to determine an upper bound on the index of g(P) and then subtract one to determine the corresponding upper bound on the index of gA(P).

The index of Lie poset algebras We will work in gl(n) to determine an upper bound on the index of g(P) and then subtract one to determine the corresponding upper bound on the index of gA(P)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:56.276034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:56:56.072555Z digest=sha256:fa7f6dde33bb17d76b585ee43328fb58c07de1685c83c76132ccbc5c4e83f193

Pith citing papers

No inbound Pith citation observations are available.