Paper Citation Record · LEDGER

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions

As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2607.20043.

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Observation ff223f99-96c0-4099-a398-c3597ef11213 · outbound

This paper cites Askey and J.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Askey and J

Reference 1

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Observation 8196a1d0-0e5c-4252-9254-8e5e082019a8 · outbound

This paper cites Deformed Dolan-Grady relations in quantum integrable models.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Deformed Dolan-Grady relations in quantum integrable models

Reference 2

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Observation 1f999e85-1b4e-49ad-bfe7-4e9208b9876b · outbound

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

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions An attractive basis for the $q-$Onsager algebra

Reference 3

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Observation 59ce3a03-4953-4b34-b14b-8aec9e61efe5 · outbound

This paper cites Generalized q-Onsager algebras and boundary affine Toda field theories.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Generalized q-Onsager algebras and boundary affine Toda field theories

Reference 4

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Observation d95d9890-b0a6-41a2-bb8f-571d0477420f · outbound

This paper cites The Bannai-Ito algebra and some applications.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The Bannai-Ito algebra and some applications

Reference 5

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Observation efe5d25d-46b2-4a29-9327-21fda9b13fc9 · outbound

This paper cites A bispectral q-hypergeometric basis for a class of quantum integrable models.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions A bispectral q-hypergeometric basis for a class of quantum integrable models

Reference 6

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Observation f2f4e1f8-b6c6-4d94-8443-de752ceebf34 · outbound

This paper cites Baseilhac, L.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Baseilhac, L

Reference 7

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Observation 6affa6d3-ca46-4ef1-aff2-31c705e2e8f2 · outbound

This paper cites Chari and A.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Chari and A

Reference 8

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Observation d2b66b3f-0dd2-4184-a827-ce886f4a10c4 · outbound

This paper cites The Askey-Wilson algebra and its avatars.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The Askey-Wilson algebra and its avatars

Reference 9

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Observation ab2c122c-c8cd-416e-b2ea-57a7558a0fc9 · outbound

This paper cites $q$-deformed Griffiths polynomials of Racah type.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions $q$-deformed Griffiths polynomials of Racah type

Reference 10

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Observation a9e4a1da-faa4-415a-ad14-9775afb403ff · outbound

This paper cites Griffiths polynomials of Racah type.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Griffiths polynomials of Racah type

Reference 11

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Observation 038f1acc-67e9-4d33-a5cc-232418d25ba3 · outbound

This paper cites The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms

Reference 12

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Observation 41e4f270-7ea1-4353-95ad-7c663d9c1a05 · outbound

This paper cites Representations of the rank two Racah algebra and orthogonal multivariate polynomials.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Representations of the rank two Racah algebra and orthogonal multivariate polynomials

Reference 13

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Observation 03d0a5c8-a0f9-4453-877e-4c117287ae52 · outbound

This paper cites Change of basis for the tridiagonal pairs of type II.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Change of basis for the tridiagonal pairs of type II

Reference 14

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This paper cites Factorized $A_2$-Leonard pair.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Factorized $A_2$-Leonard pair

Reference 15

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Observation 1ef7e3a2-ddd1-4c86-8ba5-e6f9b815ea00 · outbound

This paper cites The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra

Reference 16

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Observation 0328c84f-4a37-4462-a094-95067913ece3 · outbound

This paper cites Gasper and M.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Gasper and M

Reference 17

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Observation 1b071fc2-1d93-4dcb-a57e-b6edba989fff · outbound

This paper cites Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials

Reference 18

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Observation b6b0a897-ae7b-4852-9efb-46d8dad317fe · outbound

This paper cites The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states

Reference 19

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Observation a4679975-e89f-492e-90f9-f0340fe79b3c · outbound

This paper cites Griffiths, Orthogonal polynomials on the multinomial distribution, Austral.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Griffiths, Orthogonal polynomials on the multinomial distribution, Austral

Reference 20

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Observation fb5638cc-1ea3-47ba-8436-a47b9dd44c7c · outbound

This paper cites Multivariate Askey-Wilson functions and overlap coefficients.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Multivariate Askey-Wilson functions and overlap coefficients

Reference 21

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Observation 3d8ed430-c78e-485b-9e10-a0834daeeeac · outbound

This paper cites An Askey-Wilson Algebra of Rank 2.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions An Askey-Wilson Algebra of Rank 2

Reference 22

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Observation 18bd005a-8d0a-4f83-bc6b-e0d5583494e6 · outbound

This paper cites Granovskii and A.S.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Granovskii and A.S

Reference 24

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Observation b7d9dc5c-b913-4703-a4d8-8932dbf49140 · outbound

This paper cites Bispectral commuting difference operators for multivariable Askey-Wilson polynomials.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Bispectral commuting difference operators for multivariable Askey-Wilson polynomials

Reference 25

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Observation e0149b24-aa09-486c-987d-0eb40860f216 · outbound

This paper cites Ito, TD-pairs and the q -Onsager algebra, SUGAKU Volume 65 (2013) Issue 1.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Ito, TD-pairs and the q -Onsager algebra, SUGAKU Volume 65 (2013) Issue 1

Reference 26

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Observation e0aceefc-73a2-40b8-adac-ce5f880475a6 · outbound

This paper cites Ito, The classification of TD-pairs, RIMS Kôkyûroku 1926, 146–164 (2014).

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Ito, The classification of TD-pairs, RIMS Kôkyûroku 1926, 146–164 (2014)

Reference 27

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Observation 3937b91e-ae42-4ace-acac-8d06cde08dc2 · outbound

This paper cites Tridiagonal pairs of $q$-Racah type.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Tridiagonal pairs of $q$-Racah type

Reference 28

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Observation 2fd0e28a-8a52-48d4-bb5a-1863cb73193c · outbound

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The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The augmented tridiagonal algebra

Reference 31

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Observation 8c7288b9-d271-4522-b3f4-38942a11327a · outbound

This paper cites Koekoek, P.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Koekoek, P

Reference 32

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Observation 74a69fcb-3f12-4d6c-af88-559889e56117 · outbound

This paper cites Koornwinder, Askey–Wilson polynomials as zonal spherical functions on the SU(2) quantum group , SIAM J.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Koornwinder, Askey–Wilson polynomials as zonal spherical functions on the SU(2) quantum group , SIAM J

Reference 33

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Observation 06a5110a-def8-4f1e-9ed8-3e7f24d88173 · outbound

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The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Quantum symmetric Kac-Moody pairs

Reference 34

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Observation a45d3318-5913-43c5-ade9-af8bf60b09ae · outbound

This paper cites An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic).

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)

Reference 35

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Observation b606774b-6fd6-40f6-97cb-562b5b7bfbcf · outbound

This paper cites Terwilliger, Leonard pairs and dual polynomial sequences , preprint 1987.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Terwilliger, Leonard pairs and dual polynomial sequences , preprint 1987

Reference 36

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This paper cites Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations

Reference 37

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Observation 49400c82-8e79-49e7-9b41-eebe6d44995f · outbound

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The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Two linear transformations each tridiagonal with respect to an eigenbasis of the other

Reference 38

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The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition

Reference 39

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Observation 8c7b2037-4bb3-4449-bef3-0a8b32686db8 · outbound

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The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Leonard pairs from 24 points of view

Reference 40

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Observation d4c867fa-8183-42d2-b21d-4b9bfe9b5063 · outbound

This paper cites The Universal Askey-Wilson Algebra.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The Universal Askey-Wilson Algebra

Reference 41

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Observation 74e40458-8ae4-461f-b1fb-7ca16ede7b24 · outbound

This paper cites The $q$-Onsager algebra and its alternating central extension.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The $q$-Onsager algebra and its alternating central extension

Reference 42

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Observation 6d8bd4c2-133f-4714-bfe3-f5976c51faf4 · outbound

This paper cites The Rahman polynomials and the Lie algebra sl_3(C).

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions The Rahman polynomials and the Lie algebra sl_3(C)

Reference 43

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Observation 1ccf2886-8687-47b2-9f98-3cf81225b7a1 · outbound

This paper cites Leonard pairs and the Askey-Wilson relations.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Leonard pairs and the Askey-Wilson relations

Reference 44

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Observation 21defeae-8672-4265-b968-c33dd42e2eee · outbound

This paper cites Tratnik, Some multivariable orthogonal polynomials of the Askey tableau continuous families, J.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Tratnik, Some multivariable orthogonal polynomials of the Askey tableau continuous families, J

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Reference 46

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Observation 0650eccd-6a25-48d8-91d0-ebe44e22d652 · outbound

This paper cites Algebraization of difference eigenvalue equations related to $U_q(sl_2)$.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Algebraization of difference eigenvalue equations related to $U_q(sl_2)$

Reference 47

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Observation d052a013-f6e9-4a3a-89af-3c31c727e048 · outbound

This paper cites Zhedanov, ``Hidden symmetry'' of the Askey-Wilson polynomials , Theoret.

The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions Zhedanov, ``Hidden symmetry'' of the Askey-Wilson polynomials , Theoret

Reference 48

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