Number of documents

30


Journal articles14 documents

  • Pascal Baseilhac, Xavier Martin, Luc Vinet, Alexei Zhedanov. Little and big q-Jacobi polynomials and the Askey–Wilson algebra. Ramanujan Journal, Springer Verlag, 2019, ⟨10.1007/s11139-018-0080-1⟩. ⟨hal-02152836⟩
  • Pascal Baseilhac, Luc Vinet, Alexei Zhedanov. The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Ramanujan Journal, Springer Verlag, 2019, ⟨10.1007/s11139-018-0106-8⟩. ⟨hal-02143736⟩
  • Pascal Baseilhac, Nicolas Crampé. FRT presentation of classical Askey–Wilson algebras. Letters in Mathematical Physics, Springer Verlag, In press, ⟨10.1007/s11005-019-01182-y⟩. ⟨hal-02152774⟩
  • Pascal Baseilhac, Vincent Genest, Luc Vinet, Alexei Zhedanov. An embedding of the Bannai–Ito algebra in U(osp(1,2)) and −1 polynomials. Letters in Mathematical Physics, Springer Verlag, 2018, 108 (7), pp.1623-1634. ⟨10.1007/s11005-017-1041-0⟩. ⟨hal-02154124⟩
  • Pascal Baseilhac, Zengo Tsuboi. Asymptotic representations of augmented q -Onsager algebra and boundary K -operators related to Baxter Q-operators. Nuclear Physics B, Elsevier, 2018, 929 (April), pp.397-437. ⟨10.1016/j.nuclphysb.2018.02.017⟩. ⟨hal-02154089⟩
  • Pascal Baseilhac, Samuel Belliard, Nicolas Crampé. FRT presentation of the Onsager algebras. Letters in Mathematical Physics, Springer Verlag, 2018, 108 (10), pp.2189-2212. ⟨10.1007/s11005-018-1068-x⟩. ⟨hal-02154881⟩
  • P. Baseilhac, S. Belliard. Central extension of the reflection equations and an analog of Miki's formula. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, pp.J. Phys. A: Math. Theor. 44 (2011) 41 5205. ⟨hal-00784875⟩
  • P. Baseilhac, K. Shigechi. A new current algebra and the reflection equation. Letters in Mathematical Physics, Springer Verlag, 2010, pp.Lett.Math.Phys. 92 (2010) 47-65. ⟨hal-00784872⟩
  • P. Baseilhac, K. Koizumi. Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2007, pp.P09006. ⟨10.1088/1742-5468/2007/09/P09006⟩. ⟨hal-00185285⟩
  • P. Baseilhac, K. Koizumi. A new (in)finite dimensional algebra for quantum integrable models. Nuclear Physics B, Elsevier, 2005, 720, pp.325-347. ⟨hal-00019440⟩
  • Pascal Baseilhac. Deformed Dolan-Grady relations in quantum integrable models. Nuclear Physics B, Elsevier, 2005, 709, pp.491-521. ⟨hal-00019441⟩
  • Pascal Baseilhac. An integrable structure related with tridiagonal algebras. Nuclear Physics B, Elsevier, 2005, 705, pp.605-619. ⟨hal-00019442⟩
  • P. Baseilhac, K. Koizumi. A deformed analogue of Onsager's symmetry in the XXZ open spin chain. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2005, 0510, pp.P005. ⟨hal-00082311⟩
  • P. Baseilhac, S. Galice, P. Grangé, M. Rausch de Traubenberg. Extended Complex Trigonometry in Relation to Integrable 2D-Quantum Field Theories and Duality. Physics Letters B, Elsevier, 2000, 478, pp.365-372. ⟨hal-00019439⟩

Conference papers1 document

  • Pascal Baseilhac. New results in the XXZ open spin chain. Recent Advances in Quantum Integrable Systems, Sep 2007, Annecy, France. ⟨hal-00193557⟩

Preprints, Working Papers, ...14 documents

  • Pascal Baseilhac, Zengo Tsuboi. Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators. 2017. ⟨hal-01570872⟩
  • Pascal Baseilhac, Samuel Belliard. An attractive basis for the q−Onsager algebra . 2017. ⟨hal-01506669⟩
  • Pascal Baseilhac, Stefan Kolb. Braid group action and root vectors for the q-Onsager algebra. 2017. ⟨hal-01549066⟩
  • Pascal Baseilhac, A. M. Gainutdinov, Thi Thao Vu. CYCLIC TRIDIAGONAL PAIRS, HIGHER ORDER ONSAGER ALGEBRAS AND ORTHOGONAL POLYNOMIALS. 2016. ⟨hal-01341852⟩
  • Pascal Baseilhac, Samuel Belliard. Non-Abelian symmetries of the half-infinite XXZ spin chain. 2016. ⟨hal-01398682⟩
  • Pascal Baseilhac, Xavier Martin. A bispectral q-hypergeometric basis for a class of quantum integrable models. 2015. ⟨hal-01168537⟩
  • P. Baseilhac, T. Kojima. Form factors of the half-infinite XXZ spin chain with a triangular boundary. 2014. ⟨hal-00976001⟩
  • P. Baseilhac, T. T. Vu. Higher order relations for ADE-type generalized q-Onsager algebras. 2013. ⟨hal-00925249⟩
  • P. Baseilhac, T. T. Vu. Analogues of Lusztig's higher order relations for the q-Onsager algebra. 2013. ⟨hal-00925248⟩
  • Pascal Baseilhac, Takeo Kojima. Correlation functions of the half-infinite XXZ spin chain with a triangular boundary. 2013. ⟨hal-00925246⟩
  • P. Baseilhac, S. Belliard. The half-infinite XXZ chain in Onsager's approach. 2012. ⟨hal-00784877⟩
  • P. Baseilhac, S. Belliard. A note on the $O_q(\hat{sl_2})$ algebra. 2010. ⟨hal-00784873⟩
  • Pascal Baseilhac. A family of tridiagonal pairs and related symmetric functions. 2006. ⟨hal-00082314⟩
  • Pascal Baseilhac. The q-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach. 2006. ⟨hal-00082312⟩

Habilitation à diriger des recherches1 document

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