Paper Citation Record · LEDGER

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs

As of 12 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

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Reference resolution

46 of 46 outbound references displayed

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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

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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

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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

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

Reference 4

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

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

Reference 19

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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