Vincent X. Genest

Superintegrability in Two Dimensions and the Racah–Wilson Algebra

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

Bispectrality of the Complementary Bannai-Ito Polynomials

{mathfrak{su}(1,1)}

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

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

\(q\)-Rotations and Krawtchouk polynomials

{mathfrak{su}(1,1)}

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

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