Quantum Zonal Spherical Functions and Macdonald Polynomials

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dc.creatorLetzter, Gail
dc.date2002-10-29
dc.date2003-02-19
dc.date.accessioned2026-07-07T04:52:27Z
dc.date.available2026-07-07T04:52:27Z
dc.descriptionA 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.
dc.descriptionMinor revisions, changes to section 7
dc.identifierhttps://arxiv.org/abs/math/0210447
dc.identifierhttp://arxiv.org/abs/math/0210447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65469
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleQuantum Zonal Spherical Functions and Macdonald Polynomials
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