Deformed Dolan???Grady relations in quantum integrable models, Nuclear Physics B, vol.709, issue.3, pp.491-521, 2005. ,
DOI : 10.1016/j.nuclphysb.2004.12.016
URL : https://hal.archives-ouvertes.fr/hal-00019441
A family of tridiagonal pairs and related symmetric functions, Journal of Physics A: Mathematical and General, vol.39, issue.38, 2006. ,
DOI : 10.1088/0305-4470/39/38/005
URL : https://hal.archives-ouvertes.fr/hal-00082314
Generalized q-Onsager Algebras and Boundary Affine Toda Field Theories, Letters in Mathematical Physics, vol.89, issue.FS14, pp.213-228, 2010. ,
DOI : 10.1007/s11005-010-0412-6
Expansions in eigenfunctions of selfadjoint operators, Translated from the Russian by R, Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman. Translations of Mathematical Monographs, vol.17, 1968. ,
A note on the Oq( sl2) algebra ,
The half-infinite XXZ chain in Onsager??s approach, Nuclear Physics B, vol.873, issue.3, pp.550-583, 2013. ,
DOI : 10.1016/j.nuclphysb.2013.05.003
Algebraic Combinatorics I: Association schemes, 1984. ,
A bispectral q?hypergeometric basis for a class of quantum integrable models ,
URL : https://hal.archives-ouvertes.fr/hal-01168537
-Onsager algebra, Journal of Mathematical Physics, vol.55, issue.8, p.81707, 2014. ,
DOI : 10.1063/1.4892518
URL : https://hal.archives-ouvertes.fr/hal-00556920
On sieved orthogonal polynomials. X. General blocks of recurrence relations, Pacific Journal of Mathematics, vol.163, issue.2, pp.163-165, 1994. ,
DOI : 10.2140/pjm.1994.163.237
A guide to quantum groups. CUP, 1994. ,
The sl2 loop algebra symmetry of the six-vertex model at roots of unity, Journal of Statistical Physics, vol.102, issue.3/4, pp.701-736, 2001. ,
DOI : 10.1023/A:1004894701900
Conserved charges from self-duality, Physical Review D, vol.25, issue.6, p.1587, 1982. ,
DOI : 10.1103/PhysRevD.25.1587
Orthogonal matrix polynomials and higher-order recurrence relations, Linear Algebra and its Applications, vol.219, pp.261-280, 1995. ,
DOI : 10.1016/0024-3795(93)00218-O
Bispectrality of Multivariable Racah???Wilson Polynomials, Constructive Approximation, vol.141, issue.2, pp.417-457, 2010. ,
DOI : 10.1007/s00365-009-9045-3
Spectral decomposition and matrix-valued orthogonal polynomials, Advances in Mathematics, vol.244, pp.91-1051206, 2013. ,
DOI : 10.1016/j.aim.2013.04.025
Mutual integrability, quadratic algebras, and dynamical symmetry, Annals of Physics, vol.217, issue.1, pp.1-20, 1992. ,
DOI : 10.1016/0003-4916(92)90336-K
Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials, Dev. Math, vol.13, pp.209-219, 2005. ,
DOI : 10.1007/0-387-24233-3_10
Bispectral commuting difference operators for multivariable Askey-Wilson polynomials, Transactions of the American Mathematical Society, vol.363, issue.03, pp.1577-1598, 2011. ,
DOI : 10.1090/S0002-9947-2010-05183-9
A classification of sharp tridiagonal pairs, Linear Algebra and its Applications, vol.435, issue.8, pp.1857-1884, 2011. ,
DOI : 10.1016/j.laa.2011.03.032
Mock tridiagonal systems, Linear Algebra and its Applications, vol.435, issue.8, 1997. ,
DOI : 10.1016/j.laa.2011.03.025
The augmented tridiagonal algebra Some algebra related to P -and Q-polynomial association schemes, Codes and association schemes, Kyushu J. Math. DIMACS Ser. Discrete Math. Theoret. Comput. Sci, vol.64, issue.56, pp.81-144, 1999. ,
The Askey-scheme of hypergeometric orthogonal polynomials and its q?analogue, arXiv:math.CA, 96022141. ,
Infinite J?matrices and a matrix-moment problem, pp.125-128, 1949. ,
Quantum symmetric Kac???Moody pairs, Advances in Mathematics, vol.267, pp.395-469, 2014. ,
DOI : 10.1016/j.aim.2014.08.010
Orthogonal Polynomials, Duality and Association Schemes, SIAM Journal on Mathematical Analysis, vol.13, issue.4, pp.656-663, 1982. ,
DOI : 10.1137/0513044
Introduction to Quantum Groups, Birkhauser, 1993. ,
DOI : 10.1007/978-0-8176-4717-9
Tridiagonal pairs of q-Racah type and the µ-conjecture, Linear Algebra Appl, vol.432, pp.320-3209, 2010. ,
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition, Physical Review, vol.65, issue.3-4, pp.117-149, 1944. ,
DOI : 10.1103/PhysRev.65.117
The subconstituent algebra of an association scheme. III, Journal of Algebraic Combinatorics, vol.2, issue.2, pp.177-210, 1993. ,
DOI : 10.1023/A:1022415825656
Two relations that generalize the q?Serre relations and the Dolan-Grady relations, Proceedings of the Nagoya 1999 International workshop on physics and combinatorics, pp.377-398 ,
Two linear transformations each tridiagonal with respect to an eigenbasis of the other, Linear Algebra and its Applications, vol.330, issue.1-3, pp.149-203, 2001. ,
DOI : 10.1016/S0024-3795(01)00242-7
Leonard pairs and the q-Racah polynomials, Linear Algebra and its Applications, vol.387, pp.235-276, 2004. ,
DOI : 10.1016/j.laa.2004.02.014
Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array, Designs, Codes and Cryptography, pp.307-332, 2005. ,
Multivariable Meixner, Krawtchouk, and Meixner???Pollaczek polynomials, Multivariable Meixner, Krawtchouk, and Meixner-Pollaczek polynomials, pp.2740-2749, 1989. ,
DOI : 10.1063/1.528507
LEONARD PAIRS AND THE ASKEY???WILSON RELATIONS, Journal of Algebra and Its Applications, vol.03, issue.04, 2004. ,
DOI : 10.1142/S0219498804000940
Dual $-1$ Hahn polynomials: ???Classical??? polynomials beyond the Leonard duality, Proc. Amer, pp.959-970, 2013. ,
DOI : 10.1090/S0002-9939-2012-11469-8
sl(N) Onsager's algebra and integrability, Journal of Statistical Physics, vol.136, issue.F14, pp.hep-th, 1996. ,
DOI : 10.1007/BF02189226
The higher order q?Dolan-Grady relations and quantum integrable systems, 2015. ,
URL : https://hal.archives-ouvertes.fr/tel-01245741
?Hidden symmetry? of Askey-Wilson polynomials, Theoretical and Mathematical Physics, vol.22, issue.2, pp.190-204, 1991. ,
DOI : 10.1007/BF01015906
37200 Tours, France E-mail address: baseilha@lmpt.univ-tours.fr; azat.gainutdinov@lmpt.univ-tours.fr; thi-thao.vu@lmpt.univ-tours.fr ? DESY, Theory Group, Notkestrasse 85, Bldg. 2a, 22603 Hamburg and Fachbereich Mathematik, 20146. ,