Isomorphisms of type $A$ affine Hecke algebras and multivariable orthogonal polynomials

Simple item page
dc.creatorBaker, T. H.
dc.creatorForrester, P. J.
dc.date1997-10-29
dc.date1997-11-05
dc.date.accessioned2026-07-07T05:57:40Z
dc.date.available2026-07-07T05:57:40Z
dc.descriptionWe examine two isomorphisms between affine Hecke algebras of type $A$ associated with parameters $q^{-1}$, $t^{-1}$ and $q$, $t$. One of them maps the non-symmetric Macdonald polynomials $E_η(x;q^{-1},t^{-1})$ onto $E_η(x;q,t)$, while the other maps them onto non-symmetric analogues of the multivariable Al-Salam & Carlitz polynomials. Using the properties of $E_η(x;q^{-1},t^{-1})$, the corresponding properties of these latter polynomials can then be elucidated.
dc.descriptionLaTeX2e, 20 pages, minor changes to references
dc.identifierhttps://arxiv.org/abs/q-alg/9710036
dc.identifierhttp://arxiv.org/abs/q-alg/9710036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88068
dc.subjectQuantum Algebra
dc.titleIsomorphisms of type $A$ affine Hecke algebras and multivariable orthogonal polynomials
dc.typetext

Files

Collections

arXiv