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Dive into the research topics where Vincent X. Genest is active.

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Featured researches published by Vincent X. Genest.


Letters in Mathematical Physics | 2014

Superintegrability in Two Dimensions and the Racah–Wilson Algebra

Vincent X. Genest; Luc Vinet; Alexei Zhedanov

The analysis of the most general second-order superintegrable system in two dimensions: the generic 3-parameter model on the 2-sphere is cast in the framework of the Racah problem for the


Communications in Mathematical Physics | 2015

A Laplace-Dunkl Equation on S 2 and the Bannai–Ito Algebra

Vincent X. Genest; Luc Vinet; Alexei Zhedanov


Symmetry Integrability and Geometry-methods and Applications | 2013

Bispectrality of the Complementary Bannai-Ito Polynomials

Vincent X. Genest; Alexei Zhedanov

{mathfrak{su}(1,1)}


Communications in Mathematical Physics | 2014

The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

Vincent X. Genest; Mourad E. H. Ismail; Luc Vinet; Alexei Zhedanov


arXiv: Mathematical Physics | 2013

The equitable Racah algebra from three su(1,1) algebras

Vincent X. Genest; Luc Vinet; Alexei Zhedanov

su(1,1) algebra. The Hamiltonian of the 3-parameter system and the generators of its quadratic symmetry algebra are seen to correspond to the total and intermediate Casimir operators of the combination of three


Symmetry Integrability and Geometry-methods and Applications | 2014

A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials

Vincent X. Genest; Luc Vinet; Alexei Zhedanov


Ramanujan Journal | 2016

\(q\)-Rotations and Krawtchouk polynomials

Vincent X. Genest; Sarah Post; Luc Vinet; Guo-Fu Yu; Alexei Zhedanov

{mathfrak{su}(1,1)}


Symmetry Integrability and Geometry-methods and Applications | 2014

The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1,1)

Vincent X. Genest; Luc Vinet


Letters in Mathematical Physics | 2015

The Equitable Presentation of {\mathfrak{osp}_q(1|2)} and a q-Analog of the Bannai–Ito Algebra

Vincent X. Genest; Luc Vinet; Alexei Zhedanov

su(1,1) algebras, respectively. The construction makes explicit the isomorphism between the Racah–Wilson algebra, which is the fundamental algebraic structure behind the Racah problem for


Archive | 2015

THE QUANTUM SUPERALGEBRA ospq(1|2) AND A q-GENERALIZATION OF THE BANNAI-ITO POLYNOMIALS

Vincent X. Genest; Luc Vinet; Alexei Zhedanov

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Alexei Zhedanov

Centre de Recherches Mathématiques

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Guo-Fu Yu

Shanghai Jiao Tong University

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Mourad E. H. Ismail

University of Central Florida

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