Koornwinder polynomials and affine Hecke algebras

dc.creatorStokman, J. V.
dc.date2000-02-11
dc.date2005-04-18
dc.date.accessioned2026-07-07T04:33:49Z
dc.date.available2026-07-07T04:33:49Z
dc.descriptionIn this paper we derive the bi-orthogonality relations, diagonal term evaluations and evaluation formulas for the non-symmetric Koornwinder polynomials. For the derivation we use certain representations of the (double) affine Hecke algebra which were originally defined by Noumi and Sahi. The structure of the diagonal terms is clarified by expressing them as residues of the bi-orthogonality weight function. We furthermore give the explicit connection between the non-symmetric and the (anti-)symmetric theory.
dc.description30 pages. Published version, with correction of a mistake in Theorem 3.4 (observed by Etingof, Gan and Oblomkov in math.QA/0504089)
dc.identifierhttps://arxiv.org/abs/math/0002090
dc.identifierhttp://arxiv.org/abs/math/0002090
dc.identifierInternat. Math. Res. Notices 2000, no. 19, 1006-1042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58672
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject33D52; 33D80
dc.titleKoornwinder polynomials and affine Hecke algebras
dc.typetext

Files

Collections