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Pascal Baseilhac

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The alternating presentation of $U_q(\widehat{gl_2})$ from Freidel-Maillet algebras

Pascal Baseilhac
Nuclear Physics B, 2021, 967 (June 2021), pp.115400. ⟨10.1016/j.nuclphysb.2021.115400⟩
Article dans une revue hal-03008860v1
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Braid group action and root vectors for the q-Onsager algebra

Pascal Baseilhac , Stefan Kolb
Transformation Groups, 2020, 25 (June), pp.363-389. ⟨10.1007/s00031-020-09555-7⟩
Article dans une revue hal-01549066v1
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Little and big q-Jacobi polynomials and the Askey–Wilson algebra

Pascal Baseilhac , Xavier Martin , Luc Vinet , Alexei Zhedanov
Ramanujan Journal, 2019, ⟨10.1007/s11139-018-0080-1⟩
Article dans une revue hal-02152836v1

Higher rank classical analogs of the Askey-Wilson algebra from the $sl_N$ Onsager algebra

Pascal Baseilhac , Nicolas Crampé , Rodrigo A. Pimenta
Journal of Mathematical Physics, 2019, 60 (8), pp.081703. ⟨10.1063/1.5111292⟩
Article dans une revue hal-01926766v1

The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type

Pascal Baseilhac , Satoshi Tsujimoto , Luc Vinet , Alexei Zhedanov
Annales Henri Poincaré, 2019, 20 (9), pp.3091-3112. ⟨10.1007/s00023-019-00821-3⟩
Article dans une revue hal-03010808v1
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The q-Heun operator of big q-Jacobi type and the q-Heun algebra

Pascal Baseilhac , Luc Vinet , Alexei Zhedanov
Ramanujan Journal, 2019, ⟨10.1007/s11139-018-0106-8⟩
Article dans une revue hal-02143736v1
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FRT presentation of classical Askey–Wilson algebras

Pascal Baseilhac , Nicolas Crampé
Letters in Mathematical Physics, 2019, 109, pp.2187-2207. ⟨10.1007/s11005-019-01182-y⟩
Article dans une revue hal-02152774v1
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An embedding of the Bannai–Ito algebra in U(osp(1,2)) and −1 polynomials

Pascal Baseilhac , Vincent X Genest , Luc Vinet , Alexei Zhedanov
Letters in Mathematical Physics, 2018, 108 (7), pp.1623-1634. ⟨10.1007/s11005-017-1041-0⟩
Article dans une revue hal-02154124v1
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FRT presentation of the Onsager algebras

Pascal Baseilhac , Samuel Belliard , Nicolas Crampé
Letters in Mathematical Physics, 2018, 108 (10), pp.2189-2212. ⟨10.1007/s11005-018-1068-x⟩
Article dans une revue hal-02154881v1
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Asymptotic representations of augmented q -Onsager algebra and boundary K -operators related to Baxter Q-operators

Pascal Baseilhac , Zengo Tsuboi
Nuclear Physics B, 2018, 929 (April), pp.397-437. ⟨10.1016/j.nuclphysb.2018.02.017⟩
Article dans une revue hal-02154089v1
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Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials

Pascal Baseilhac , A. M. Gainutdinov , Thi Thao Vu
Linear Algebra and its Applications, 2017, 522, pp.71-110. ⟨10.1016/j.laa.2017.02.009⟩
Article dans une revue hal-01341852v1

The $q$-Onsager algebra and multivariable $q$-special functions

Pascal Baseilhac , Luc Vinet , Alexei Zhedanov
Journal of Physics A: Mathematical and Theoretical, 2017, A50 (39), pp.395201. ⟨10.1088/1751-8121/aa85a4⟩
Article dans une revue hal-01584566v1

The q-Onsager algebra and multivariable q-special functions

Pascal Baseilhac , Luc Vinet , Alexei Zhedanov
Journal of Physics A: Mathematical and Theoretical, 2017
Article dans une revue hal-01404612v1

Central extension of the reflection equations and an analog of Miki's formula

P. Baseilhac , S. Belliard
Journal of Physics A: Mathematical and Theoretical, 2011, pp.J. Phys. A: Math. Theor. 44 (2011) 41 5205. ⟨10.1088/1751-8113/44/41/415205⟩
Article dans une revue hal-00784875v1
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Generalized q-Onsager algebras and boundary affine Toda field theories

Pascal Baseilhac , S. Belliard
Letters in Mathematical Physics, 2010, 93, pp.213-228. ⟨10.1007/s11005-010-0412-6⟩
Article dans une revue hal-00398665v1

A new current algebra and the reflection equation

P. Baseilhac , K. Shigechi
Letters in Mathematical Physics, 2010, 92 (1), pp.47-65. ⟨10.1007/s11005-010-0380-x⟩
Article dans une revue hal-00784872v1

Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory

P. Baseilhac , K. Koizumi
Journal of Statistical Mechanics: Theory and Experiment, 2007, pp.P09006. ⟨10.1088/1742-5468/2007/09/P09006⟩
Article dans une revue hal-00185285v1

A new (in)finite dimensional algebra for quantum integrable models

P. Baseilhac , K. Koizumi
Nuclear Physics B, 2005, 720, pp.325-347
Article dans une revue hal-00019440v1

A deformed analogue of Onsager's symmetry in the XXZ open spin chain

P. Baseilhac , K. Koizumi
Journal of Statistical Mechanics: Theory and Experiment, 2005, 0510, pp.P005
Article dans une revue hal-00082311v1

Deformed Dolan-Grady relations in quantum integrable models

Pascal Baseilhac
Nuclear Physics B, 2005, 709, pp.491-521
Article dans une revue hal-00019441v1

An integrable structure related with tridiagonal algebras

Pascal Baseilhac
Nuclear Physics B, 2005, 705, pp.605-619
Article dans une revue hal-00019442v1

Extended Complex Trigonometry in Relation to Integrable 2D-Quantum Field Theories and Duality

P. Baseilhac , S. Galice , P. Grangé , M. Rausch de Traubenberg
Physics Letters B, 2000, 478, pp.365-372
Article dans une revue hal-00019439v1
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New results in the XXZ open spin chain

Pascal Baseilhac
Recent Advances in Quantum Integrable Systems, Sep 2007, Annecy, France
Communication dans un congrès hal-00193557v1

An attractive basis for the q−Onsager algebra

Pascal Baseilhac , Samuel Belliard
2017
Pré-publication, Document de travail hal-01506669v1
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Non-Abelian symmetries of the half-infinite XXZ spin chain

Pascal Baseilhac , Samuel Belliard
2016
Pré-publication, Document de travail hal-01398682v1

A bispectral q-hypergeometric basis for a class of quantum integrable models

Pascal Baseilhac , Xavier Martin
2015
Pré-publication, Document de travail hal-01168537v1

Form factors of the half-infinite XXZ spin chain with a triangular boundary

P. Baseilhac , T. Kojima
2014
Pré-publication, Document de travail hal-00976001v1

Analogues of Lusztig's higher order relations for the q-Onsager algebra

P. Baseilhac , T. T. Vu
2013
Pré-publication, Document de travail hal-00925248v1

Correlation functions of the half-infinite XXZ spin chain with a triangular boundary

Pascal Baseilhac , Takeo Kojima
2013
Pré-publication, Document de travail hal-00925246v1

Higher order relations for ADE-type generalized q-Onsager algebras

P. Baseilhac , T. T. Vu
2013
Pré-publication, Document de travail hal-00925249v1

The half-infinite XXZ chain in Onsager's approach

P. Baseilhac , S. Belliard
2012
Pré-publication, Document de travail hal-00784877v1

A note on the $O_q(\hat{sl_2})$ algebra

P. Baseilhac , S. Belliard
2010
Pré-publication, Document de travail hal-00784873v1

The q-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach

Pascal Baseilhac
2006
Pré-publication, Document de travail hal-00082312v1

A family of tridiagonal pairs and related symmetric functions

Pascal Baseilhac
2006
Pré-publication, Document de travail hal-00082314v1
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Approche à la Onsager en systèmes intégrables

Pascal Baseilhac
Physique mathématique [math-ph]. Université François Rabelais - Tours, 2010
HDR tel-00612887v1