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Paper Citation Record · LEDGER

PBW bases and centralisers for the $q$-Onsager algebra

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.10097.

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2607.10097 v2

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measured 36 of 36 reference resolution

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measured 36 of 36 standing notices

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Outbound references

Observation b5c85828-44e6-4239-962c-417205c9c108 · outbound

This paper cites Appel and B.

PBW bases and centralisers for the $q$-Onsager algebra Appel and B

Reference 1

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Observation bc52b15b-f2b6-499f-8b90-a276a534de07 · outbound

This paper cites Appel and B.

PBW bases and centralisers for the $q$-Onsager algebra Appel and B

Reference 2

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Observation 690a36bd-4025-428e-8095-dc8f15b92455 · outbound

This paper cites Balagovi´ c and S.

PBW bases and centralisers for the $q$-Onsager algebra Balagovi´ c and S

Reference 3

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Observation 76502f70-5bb6-4eea-8a38-cf7e9a535a53 · outbound

This paper cites Baseilhac,Deformed Dolan–Grady relations in quantum integrable models, Nuclear Phys.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac,Deformed Dolan–Grady relations in quantum integrable models, Nuclear Phys

Reference 4

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Observation 3b533556-4b24-4b47-b1e8-a6ab48813daf · outbound

This paper cites Baseilhac and S.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and S

Reference 5

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Observation 65105cae-b78d-48f5-a3b9-539208d2792d · outbound

This paper cites Baseilhac and S.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and S

Reference 6

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Observation 83462b8f-584f-48f8-b751-cca5d25b6e16 · outbound

This paper cites An attractive basis for the $q-$Onsager algebra.

PBW bases and centralisers for the $q$-Onsager algebra An attractive basis for the $q-$Onsager algebra

Reference 7

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Observation 8af3f944-1c37-406f-b5a2-1f09dc1d0ed2 · outbound

This paper cites Baseilhac, S.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac, S

Reference 8

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Observation b349640e-858f-4518-9ac3-7620da56e291 · outbound

This paper cites Baseilhac, A.M.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac, A.M

Reference 9

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Observation 4037707d-4ca5-488c-90b8-6ee0409d9c73 · outbound

This paper cites Baseilhac and K.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and K

Reference 10

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Observation c79e7ca5-d700-4a36-b7cb-3ce0045216e2 · outbound

This paper cites Baseilhac and S.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and S

Reference 11

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Observation cb182743-d935-40a7-9ae9-5531fbbe9eba · outbound

This paper cites Baseilhac and K.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and K

Reference 12

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source=pdf_text observed=2026-08-02T07:39:17.925213Z digest=sha256:8a3bb335e0daff9d10f547d3e789ada689dcef2d0134bdab59c56c446ed23592

Observation d4dd7184-9eb6-4bc7-b3ca-252ec2735c84 · outbound

This paper cites Baseilhac and Z.

PBW bases and centralisers for the $q$-Onsager algebra Baseilhac and Z

Reference 13

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source=pdf_text observed=2026-08-02T07:39:18.046698Z digest=sha256:6fa9c5ad134ee266ab38392d161ee7bc6ac36a98f9958e4f792315d5671d4434

Observation dcc1948f-09a4-4a1b-9e5f-b2c627eab5f0 · outbound

This paper cites Beck,Convex bases of PBW type for quantum affine algebras, Comm.

PBW bases and centralisers for the $q$-Onsager algebra Beck,Convex bases of PBW type for quantum affine algebras, Comm

Reference 14

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Observation 75b84685-63e0-4eff-9cbe-0fc54b251e4f · outbound

This paper cites Damiani,A basis of type Poincar´ e–Birkhoff–Witt for the quantum algebra of bsl2, J.

PBW bases and centralisers for the $q$-Onsager algebra Damiani,A basis of type Poincar´ e–Birkhoff–Witt for the quantum algebra of bsl2, J

Reference 15

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source=pdf_text observed=2026-08-02T07:39:18.262518Z digest=sha256:23f7ed4602970693f75290f77f76893e8e7ddb4919371fc547a687ca2fc3f488

Observation 8b27c656-4515-48f0-ae86-4dd68390518a · outbound

This paper cites Damiani,LaR-matrice pour les alg` ebres quantiques de type affine non tordu, Ann.

PBW bases and centralisers for the $q$-Onsager algebra Damiani,LaR-matrice pour les alg` ebres quantiques de type affine non tordu, Ann

Reference 16

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source=pdf_text observed=2026-08-02T07:39:18.373649Z digest=sha256:05570c7a5a8b537737eaf302f4cc58be4e0365687c2e81d94d05575dd36c493c

Observation e36f5d0f-a630-459d-92cc-2efdf273ae96 · outbound

This paper cites Ding and I.B.

PBW bases and centralisers for the $q$-Onsager algebra Ding and I.B

Reference 17

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source=pdf_text observed=2026-08-02T07:39:18.466174Z digest=sha256:d3d1a20285a54e15cdf1b183282ead3ffe265e9d0f3e55b7f0d6ba890b1d178c

Observation f5384e21-b2af-476d-ad64-cdd41e64ffb7 · outbound

This paper cites Dolan and M.

PBW bases and centralisers for the $q$-Onsager algebra Dolan and M

Reference 18

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source=pdf_text observed=2026-08-02T07:39:18.589439Z digest=sha256:0a87685ccb5cd1d45bdde4bad7fdac080a8ad121ebc705ae94a727e86d656298

Observation d4edbd3d-16c1-4b66-aa04-bd668151e162 · outbound

This paper cites Khoroshkin and V.N.

PBW bases and centralisers for the $q$-Onsager algebra Khoroshkin and V.N

Reference 19

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Observation cb5aa6ea-1c0b-4440-a3e8-9df8806823a2 · outbound

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

PBW bases and centralisers for the $q$-Onsager algebra Kolb,Quantum symmetric Kac–Moody pairs, Adv

Reference 20

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source=pdf_text observed=2026-08-02T07:39:18.907305Z digest=sha256:79ac3cf39f3653a8ba84e4875434a84d53bc44d957c73965214114f29ab9c5f6

Observation c8d2c53b-6352-4c85-92b3-c54609fd55f1 · outbound

This paper cites Lemarthe, P.

PBW bases and centralisers for the $q$-Onsager algebra Lemarthe, P

Reference 21

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source=pdf_text observed=2026-08-02T07:39:19.039372Z digest=sha256:f089601180489fd3ed49e4147c2a0d1e104e1404d2432b0e6cc21824b58b6719

Observation 756606c4-4124-4fb5-aa81-81aa405ee726 · outbound

This paper cites Letzter,Coideal subalgebras and quantum symmetric pairs, inNew Directions in Hopf Algebras, Math.

PBW bases and centralisers for the $q$-Onsager algebra Letzter,Coideal subalgebras and quantum symmetric pairs, inNew Directions in Hopf Algebras, Math

Reference 22

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Observation 4d63472d-be8d-4491-9c10-e85b6ccef3cf · outbound

This paper cites an unresolved cited work.

PBW bases and centralisers for the $q$-Onsager algebra Unresolved cited work

Reference 23

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Observation 3bbd0e36-3dd1-4328-80ab-c8d4e88558a8 · outbound

This paper cites Lu and W.

PBW bases and centralisers for the $q$-Onsager algebra Lu and W

Reference 24

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Observation 16f6a4e7-e9be-4cbd-bb1c-71f0180ffd06 · outbound

This paper cites Onsager,Crystal statistics.

PBW bases and centralisers for the $q$-Onsager algebra Onsager,Crystal statistics

Reference 25

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Observation 3ca79676-269a-4ece-8b31-aab478ce803d · outbound

This paper cites Rosso,Quantum groups and quantum shuffles, Invent.

PBW bases and centralisers for the $q$-Onsager algebra Rosso,Quantum groups and quantum shuffles, Invent

Reference 26

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Observation 6e7e6eff-2bd3-430c-af0e-8406d27c9558 · outbound

This paper cites Sklyanin,Boundary conditions for integrable quantum systems, J.

PBW bases and centralisers for the $q$-Onsager algebra Sklyanin,Boundary conditions for integrable quantum systems, J

Reference 27

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Observation 987c2540-50f3-4149-a924-e031075df562 · outbound

This paper cites Terwilliger,Two relations that generalize theq-Serre relations and the Dolan–Grady rela- tions, inPhysics and Combinatorics 1999, World Scientific, River Edge, NJ, 2001, 377–398.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,Two relations that generalize theq-Serre relations and the Dolan–Grady rela- tions, inPhysics and Combinatorics 1999, World Scientific, River Edge, NJ, 2001, 377–398

Reference 28

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Observation 0bd79a8d-45f0-4baa-af3c-4a271b6ef19d · outbound

This paper cites Terwilliger,Theq-Onsager algebra and the positive part ofU q(bsl2), Linear Algebra Appl.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,Theq-Onsager algebra and the positive part ofU q(bsl2), Linear Algebra Appl

Reference 29

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Observation 506815b3-57ca-4b6a-b523-e614db12565d · outbound

This paper cites Terwilliger,An action of the free productZ 2 ∗Z 2 ∗Z 2 on theq-Onsager algebra and its current algebra, Nuclear Phys.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,An action of the free productZ 2 ∗Z 2 ∗Z 2 on theq-Onsager algebra and its current algebra, Nuclear Phys

Reference 30

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Observation 04068da0-e839-4ec0-914b-900f89e20499 · outbound

This paper cites Terwilliger,Using Catalan words and aq-shuffle algebra to describe a PBW basis for the positive part ofU q(bsl2), J.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,Using Catalan words and aq-shuffle algebra to describe a PBW basis for the positive part ofU q(bsl2), J

Reference 31

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Observation f84b463a-9ac0-4991-bcc4-797ee716d394 · outbound

This paper cites Terwilliger,The alternating PBW basis for the positive part ofU q(bsl2), J.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,The alternating PBW basis for the positive part ofU q(bsl2), J

Reference 32

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source=pdf_text observed=2026-08-02T07:39:20.528639Z digest=sha256:a12a3f9037cf11368caf6198ef0c8e1d1afa35b6b004b58c3a1b0698f366426f

Observation d57edbce-76a3-4f71-afde-8ce9c772aee1 · outbound

This paper cites Terwilliger,The alternating central extension of theq-Onsager algebra, Comm.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,The alternating central extension of theq-Onsager algebra, Comm

Reference 33

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Observation ae1fef4e-d122-4e41-b651-ee3249c203d3 · outbound

This paper cites Terwilliger,Theq-Onsager algebra and its alternating central extension, Nuclear Phys.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,Theq-Onsager algebra and its alternating central extension, Nuclear Phys

Reference 34

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Observation 376f8694-0bba-4723-8d8d-a43f4b99de6f · outbound

This paper cites Terwilliger,The compact presentation for the alternating central extension of theq-Onsager algebra, J.

PBW bases and centralisers for the $q$-Onsager algebra Terwilliger,The compact presentation for the alternating central extension of theq-Onsager algebra, J

Reference 35

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Observation 5072b3a3-22e6-4ca6-a522-9f0a668deb15 · outbound

This paper cites Zhu,A new PBW basis for the alternating central extension of theq-Onsager algebra, Nuclear Phys.

PBW bases and centralisers for the $q$-Onsager algebra Zhu,A new PBW basis for the alternating central extension of theq-Onsager algebra, Nuclear Phys

Reference 36

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