Quantum Symmetric Pairs and Their Zonal Spherical Functions

Simple item page
dc.creatorLetzter, Gail
dc.date2002-04-09
dc.date.accessioned2026-07-07T04:47:32Z
dc.date.available2026-07-07T04:47:32Z
dc.descriptionWe study the space of biinvariants and zonal spherical functions associated to quantum symmetric pairs in the maximally split case. Under the obvious restriction map, the space of biinvariants is proved isomorphic to the Weyl group invariants of the character group ring associated to the restricted roots. As a consequence, there is either a unique set, or an (almost) unique two-parameter set of Weyl group invariant quantum zonal spherical functions associated to an irreducible symmetric pair. Included is a complete and explicit list of the generators and relations for the left coideal subalgebras of the quantized enveloping algebra used to form quantum symmetric pairs.
dc.identifierhttps://arxiv.org/abs/math/0204103
dc.identifierhttp://arxiv.org/abs/math/0204103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63750
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleQuantum Symmetric Pairs and Their Zonal Spherical Functions
dc.typetext

Files

Collections

arXiv