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Quantum symmetric spaces and related q-orthogonal polynomials

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arxiv math/9503225 v1 pith:6SP7F5YX submitted 1995-03-27 math.QA math.CA

Masatoshi Noumi , Tetsuya Sugitani This is my paper · ORCID
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keywords polynomialsquantumspacessymmetricanaloguesclassclassicalcompact
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abstract

A class of quantum analogues of compact symmetric spaces of classical type is introduced by means of constant solutions to the reflection equations. Their zonal spherical functions are discussed in connection with $q$-orthogonal polynomials.

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Cited by 1 Pith paper

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  1. Freidel-Maillet type equations on fused K-matrices over the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$

    math.QA 2025-11 conditional novelty 7.0 of 10

    Fused K-matrices with explicit Catalan-word entries satisfy Freidel-Maillet type equations for all dimensions 2j+1.

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