Invariant differential operators for quantum symmetric spaces, II

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dc.creatorLetzter, Gail
dc.date2004-06-09
dc.date.accessioned2026-07-07T05:09:07Z
dc.date.available2026-07-07T05:09:07Z
dc.descriptionThe two papers in this series analyze quantum invariant differential operators for quantum symmetric spaces in the maximally split case. In this paper, we complete the proof of a quantum version of Harish-Chandra's theorem: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and a ring of Laurent polynomial invariants with respect to the dotted action of the restricted Weyl group. We find a particularly nice basis for the quantum invariant differential operators that provides a new interpretation of difference operators associated to Macdonald polynomials. Finally, we set the stage for a general quantum counterpart to noncompact zonal spherical functions.
dc.identifierhttps://arxiv.org/abs/math/0406194
dc.identifierhttp://arxiv.org/abs/math/0406194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71510
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleInvariant differential operators for quantum symmetric spaces, II
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