Pascal Baseilhac

Publications

Article dans une revue (27)

The $q$-Racah polynomials from scalar products of Bethe states II Pascal Baseilhac,Rodrigo A. Pimenta Journal of Physics A: Mathematical and Theoretical, 2025, 58 (12), pp.125205. ⟨10.1088/1751-8121/adbfe7⟩ Article dans une revue hal-05394690v1
The $q$-Racah polynomials from scalar products of Bethe states Pascal Baseilhac,Rodrigo A. Pimenta Journal of Physics A: Mathematical and Theoretical, 2023, 56 (38), pp.385202. ⟨10.1088/1751-8121/acef0c⟩ Article dans une revue hal-03894999v1
Freidel-Maillet type presentations of $U_q(sl_2)$ Pascal Baseilhac Nuclear Physics B, 2022, 975, pp.115682. ⟨10.1016/j.nuclphysb.2022.115682⟩ Article dans une revue hal-03279107v1
On the second realization for the positive part of $$U_q(\widehat{sl_2})$$ of equitable type Pascal Baseilhac Letters in Mathematical Physics, 2022, 112 (1), pp.2. ⟨10.1007/s11005-021-01502-1⟩ Article dans une revue hal-03419127v1
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
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
Little and big q-Jacobi polynomials and the Askey–Wilson algebra Pascal Baseilhac,Xavier Martin,Luc Vinet,Alexei Zhedanov The Ramanujan Journal, 2019, ⟨10.1007/s11139-018-0080-1⟩ Article dans une revue hal-02152836v1
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
The q-Heun operator of big q-Jacobi type and the q-Heun algebra Pascal Baseilhac,Luc Vinet,Alexei Zhedanov The Ramanujan Journal, 2019, ⟨10.1007/s11139-018-0106-8⟩ Article dans une revue hal-02143736v1
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
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz Pascal Baseilhac,Rodrigo A. Pimenta Nucl.Phys.B, 2019, 949, pp.114824. ⟨10.1016/j.nuclphysb.2019.114824⟩ Article dans une revue hal-02317272v1
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
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
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
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
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
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
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
A new current algebra and the reflection equation P. Baseilhac,K. Shigechi Letters in Mathematical Physics, 2010, 92, pp.47-65. ⟨10.1007/s11005-010-0380-x⟩ Article dans une revue hal-00784872v1
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
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 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
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
An integrable structure related with tridiagonal algebras Pascal Baseilhac Nuclear Physics B, 2005, 705, pp.605-619 Article dans une revue hal-00019442v1
Deformed Dolan-Grady relations in quantum integrable models Pascal Baseilhac Nuclear Physics B, 2005, 709, pp.491-521 Article dans une revue hal-00019441v1
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

Communication dans un congrès (1)

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

Pré-publication, Document de travail (14)

The Self-Identification Program (SIP): Introducing a Third level of Third wave Cognitive Behavioral Therapy Martin Leurent,Pascal Baseilhac,Véronique Brand-Arpon,Emilie Olié,Galina Iakimovaet al. 2025 Pré-publication, Document de travail hal-05417877v1
Fused K-operators and the $q$-Onsager algebra Guillaume Lemarthe,Pascal Baseilhac,Azat M. Gainutdinov 2025 Pré-publication, Document de travail hal-03946559v1
Universal TT- and TQ-relations via centrally extended q-Onsager algebra Pascal Baseilhac,Azat M. Gainutdinov,Guillaume Lemarthe 2025 Pré-publication, Document de travail hal-05397484v1
An attractive basis for the q−Onsager algebra Pascal Baseilhac,Samuel Belliard 2017 Pré-publication, Document de travail hal-01506669v1
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

HDR (1)

Approche à la Onsager en systèmes intégrables Pascal Baseilhac Physique mathématique [math-ph]. Université François Rabelais - Tours, 2010 HDR tel-00612887v1