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- W2949663885 abstract "A unified theory of quantum symmetric pairs is applied to q-special functions. Previous work characterized certain left coideal subalgebras in the quantized enveloping algebra and established an appropriate framework for quantum zonal spherical functions. Here a distinguished family of such functions, invariant under the Weyl group associated to the restricted roots, is shown to be a family of Macdonald polynomials, as conjectured by Koornwinder and Macdonald. Our results place earlier work for Lie algebras of classical type in a general context and extend to the exceptional cases." @default.
- W2949663885 created "2019-06-27" @default.
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- W2949663885 date "2002-10-29" @default.
- W2949663885 modified "2023-09-27" @default.
- W2949663885 title "Quantum Zonal Spherical Functions and Macdonald Polynomials" @default.
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