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Degenerate Sklyanin algebras and orthogonal polynomials

L. Vinet

Université de Montréal, Centre de Recherches Mathématiques

Abstract: I will discuss the connections between Askey–Wilson polynomials, Heun operators and degenerate Sklyanin algebras of dimensions three and four. The $q$-para Racah polynomials will be seen to realize a basis for the finite dimensional representations of the latter. The Heun–Askey–Wilson operator will be seen to emerge in this context.

Language: English


© Steklov Math. Inst. of RAS, 2024