Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians

Simple item page
dc.creatorNoumi, M.
dc.creatorDijkhuizen, M. S.
dc.creatorSugitani, T.
dc.date1996-03-15
dc.date.accessioned2026-07-07T09:16:52Z
dc.date.available2026-07-07T09:16:52Z
dc.descriptionWe present a one-parameter family of constant solutions of the reflection equation and define a family of quantum complex Grassmannians endowed with a transitive action of the quantum unitary group. By computing the radial part of a suitable Casimir operator, we identify the zonal spherical functions (i.e. infinitesimally bi-invariant matrix coefficients of finite-dimensional irreducible representations) as multivariable Askey-Wilson polynomials containing two continuous and two discrete parameters.
dc.description11 pages, AMS-TeX 2.1, no figures. To appear in: Proceedings of a Workshop on Special Functions, q-Series and Related Topics, Toronto, June 19-23, 1995, Fields Inst. Comm
dc.identifierhttps://arxiv.org/abs/q-alg/9603014
dc.identifierhttp://arxiv.org/abs/q-alg/9603014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153509
dc.subjectQuantum Algebra
dc.titleMultivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians
dc.typetext

Files

Collections

arXiv