A $q$-analogue of the type $A$ Dunkl operator and integral kernel

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dc.creatorBaker, T. H.
dc.creatorForrester, P. J.
dc.date1997-01-30
dc.date.accessioned2026-07-07T09:17:27Z
dc.date.available2026-07-07T09:17:27Z
dc.descriptionWe introduce the $q$-analogue of the type $A$ Dunkl operators, which are a set of degree--lowering operators on the space of polynomials in $n$ variables. This allows the construction of raising/lowering operators with a simple action on non-symmetric Macdonald polynomials. A bilinear series of non-symmetric Macdonald polynomials is introduced as a $q$-analogue of the type $A$ Dunkl integral kernel ${\cal K}_A(x;y)$. The aforementioned operators are used to show that the function satisfies $q$-analogues of the fundamental properties of ${\cal K}_A(x;y)$.
dc.descriptionLaTeX 2.09, 15 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9701039
dc.identifierhttp://arxiv.org/abs/q-alg/9701039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153671
dc.subjectQuantum Algebra
dc.titleA $q$-analogue of the type $A$ Dunkl operator and integral kernel
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