$S{U}_q(3)$ corepresentations and bivariate $q$-Krawtchouk polynomials

Abstract

The matrix elements of unitary $S{U}_q(3)$ corepresentations, which are analogues of the symmetric powers of the natural repesentation, are shown to be the bivariate $q$-Krawtchouk orthogonal polynomials, thus providing an algebraic interpretation of these polynomials in terms of quantum groups.

arXiv comment14 pages

References in corpus (7)

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