Paper Citation Record · LEDGER

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs

As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.09456.

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

pith.paper-citation-record.v1
2507.09456 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:11:19.844780Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

46 of 46 outbound references displayed

verified exact5
verified fuzzy27
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87a88258-46fd-45a6-a929-4b3ebc83d3b0 · outbound

This paper cites Appel and B.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Appel and B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.708634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fe0e611e-b2e7-4aeb-8e3f-fe65ec47560e · outbound

This paper cites Berenstein and J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Berenstein and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.591425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4fc148a0-3233-4355-8299-d713ba179488 · outbound

This paper cites Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:17.394840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a309204-5229-4122-9488-2455db6e46e2 · outbound

This paper cites an unresolved cited work.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:11:23.496401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 676a1d1b-3008-4924-80a9-021c6f1faa03 · outbound

This paper cites Boalch, G-bundles, isomonodromy and quantum Weyl groups, International Mathematics Research Notices, 2002(22): 1129–1166, 2002.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Boalch, G-bundles, isomonodromy and quantum Weyl groups, International Mathematics Research Notices, 2002(22): 1129–1166, 2002

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.399837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 586c5db5-3642-4fd6-ae88-5ba8db46445e · outbound

This paper cites Bao and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Bao and W

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.300160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d8929354-7977-4932-8469-88a77dbfb231 · outbound

This paper cites Bao and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Bao and W

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:17.618171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bfa6efe-1cc9-447a-990a-50722518ca8b · outbound

This paper cites Bao and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Bao and W

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.198445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 32421ad2-b681-4af9-928f-c76a8c7a418b · outbound

This paper cites De Concini and V.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs De Concini and V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.121024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2715e403-ee28-429b-a7fb-a6c25b69b73d · outbound

This paper cites De Concini, V.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs De Concini, V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:23.022575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4f96f424-803d-4583-83e1-a05f323924b5 · outbound

This paper cites Some quantum analogues of solvable Lie groups.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Some quantum analogues of solvable Lie groups

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:11:20.707854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 92e7485e-ea1d-44c6-a751-ee8c70c1ace1 · outbound

This paper cites De Concini and C.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs De Concini and C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.934619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 09e8e49a-8a58-4b09-a39b-89cf67386656 · outbound

This paper cites Dobson, Braid group actions for quantum symmetric pairs of type AIII/AIV , J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Dobson, Braid group actions for quantum symmetric pairs of type AIII/AIV , J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:17.930595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad6db6da-9dc7-47ec-8475-118794b4ec2b · outbound

This paper cites Dobson and S.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Dobson and S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.701595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 86731554-c497-4bbb-8cad-a743f071e7a2 · outbound

This paper cites Geometry of 2d topological field theories.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Geometry of 2d topological field theories

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:11:20.567197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ee12c68f-e5f8-40f1-b98e-63d9c76e6e58 · outbound

This paper cites Jantzen, Lectures on quantum groups , Grad.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Jantzen, Lectures on quantum groups , Grad

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.425312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 060fbe8f-9de6-43d3-989f-5dfe75ac0561 · outbound

This paper cites Kolb, Quantum symmetric Kac-Moody pairs , Adv.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Kolb, Quantum symmetric Kac-Moody pairs , Adv

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.144386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6f98238-e5db-4a7b-a9c5-36949d23eb5e · outbound

This paper cites Kolb and J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Kolb and J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.220538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95c897b4-6886-4189-8b54-6870c21ffad6 · outbound

This paper cites an unresolved cited work.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:11:22.340029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9bd49dec-0fa3-4f41-a0f2-afb634f40f85 · outbound

This paper cites Letzter, Coideal subalgebras and quantum symmetric pairs , New directions in Hopf algebras (Cambridge), MSRI publications, 43 (2002), Cambridge Univ.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Letzter, Coideal subalgebras and quantum symmetric pairs , New directions in Hopf algebras (Cambridge), MSRI publications, 43 (2002), Cambridge Univ

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.295025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7197636f-39c6-4698-821d-06219d8132ab · outbound

This paper cites Letzter, Cartan subalgebras for quantum symmetric pair coideals , Represent.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Letzter, Cartan subalgebras for quantum symmetric pair coideals , Represent

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.234343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9da080b5-0a1e-4670-8cbb-dfe29abb8aae · outbound

This paper cites Lu and X.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lu and X

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.440363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4881ec5e-5541-44b2-8370-0f72302638ff · outbound

This paper cites Lu and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lu and W

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.488435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bc3900e-65b1-4b4b-b987-55f06b3ce6c6 · outbound

This paper cites Lu and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lu and W

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.176414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ea59ac3e-adee-4a41-b0a5-19022971771e · outbound

This paper cites Lu and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lu and W

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.091927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a648699a-d7a3-40ff-88f1-51f2d30a078b · outbound

This paper cites Lusztig, Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra, J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lusztig, Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:22.026328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bc8466dd-1b96-45f5-94c9-ecd7d0c760f5 · outbound

This paper cites Lusztig, Canonical bases arising from quantized enveloping algebras, J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lusztig, Canonical bases arising from quantized enveloping algebras, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.952403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9b67f43-1f05-406e-a923-8164bb96cb73 · outbound

This paper cites Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras , J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.830360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aa8dbe72-94d3-4f4e-ad3d-5dbba0da0440 · outbound

This paper cites auser Classics, Reprint of the 1993 Edition, Birkh\.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs auser Classics, Reprint of the 1993 Edition, Birkh\

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.702402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2fe3622b-ea7a-4a99-a93a-150c21815516 · outbound

This paper cites Hecke algebras with unequal parameters.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Hecke algebras with unequal parameters

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.812957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 998016a6-c103-4354-9fea-65a005065fe1 · outbound

This paper cites PBW bases for $\imath$quantum groups.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs PBW bases for $\imath$quantum groups

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:11:20.327497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6b2fc6af-fcbe-4e8b-a741-c78b0ffe433a · outbound

This paper cites Molev, E.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Molev, E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.622411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0bd8318c-0f19-40a5-838b-354b27486970 · outbound

This paper cites Dual canonical bases and quantum cluster algebras.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Dual canonical bases and quantum cluster algebras

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.910600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16a15c6a-6c4e-4e69-bb7d-f241288fa529 · outbound

This paper cites Cluster Nature of Quantum Groups.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Cluster Nature of Quantum Groups

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:18.994915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5c43424-fd77-4e4d-831a-f543c0504b4e · outbound

This paper cites Shen, Duals of semisimple Poisson--Lie groups and cluster theory of moduli spaces of G -local systems , Int.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Shen, Duals of semisimple Poisson--Lie groups and cluster theory of moduli spaces of G -local systems , Int

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.547727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1feab1a-f64f-44de-b06f-699d0ef32025 · outbound

This paper cites Song, Cluster realisation of quantum groups of type AI , Proc.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Song, Cluster realisation of quantum groups of type AI , Proc

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.478086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8922750c-f29f-4155-861a-0f584deafc0e · outbound

This paper cites Quantum duality principle and quantum symmetric pairs.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Quantum duality principle and quantum symmetric pairs

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:11:20.197016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4938c713-861c-44b2-9f06-d06604b651c5 · outbound

This paper cites a user Classics, Birkh \.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs a user Classics, Birkh \

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.414498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e77ba332-b5c5-477c-9e9a-cda1dc49d1b8 · outbound

This paper cites Sugawara, Quantum dilogarithm identities arising from the product formula for the universal R-matrix of quantum affine algebras , Publ.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Sugawara, Quantum dilogarithm identities arising from the product formula for the universal R-matrix of quantum affine algebras , Publ

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.346087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e36d8d21-1868-49f4-ae3b-f740758abaaf · outbound

This paper cites Ugaglia, On a Poisson structure on the space of Stokes matrices , International Mathematics Research Notices 9 (1999), 473–-493.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Ugaglia, On a Poisson structure on the space of Stokes matrices , International Mathematics Research Notices 9 (1999), 473–-493

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.277426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a0259a39-fd27-4ec0-a3f9-891953757b1e · outbound

This paper cites Wang, Quantum symmetric pairs , In Proceedings of ICM, Vol.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Wang, Quantum symmetric pairs , In Proceedings of ICM, Vol

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.209651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4062763c-7725-4df7-ad5f-2b400981b9d7 · outbound

This paper cites Wang and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Wang and W

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T18:11:19.570741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 170dd2ef-af13-4312-8c80-8ed07cd09cc4 · outbound

This paper cites Wang and W.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Wang and W

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:21.070419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 35198bc8-bfa0-417b-b70b-942ef753af0a · outbound

This paper cites Xu, Dirac submanifolds and Poisson involutions , Ann.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Xu, Dirac submanifolds and Poisson involutions , Ann

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:20.948415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 818fe641-456d-4bf4-83ce-a714f65853cd · outbound

This paper cites Watanabe, Classical weight modules over quantum groups , J.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs Watanabe, Classical weight modules over quantum groups , J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:11:20.830179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 291020ae-b310-4c31-8848-6846ee0dcb9d · outbound

This paper cites RTT presentation of coideal subalgebra of quantized enveloping algebra of type CI.

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs RTT presentation of coideal subalgebra of quantized enveloping algebra of type CI

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:11:20.038655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.