Macdonald functions associated to complex reflection groups

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dc.creatorShoji, Toshiaki
dc.date2002-08-08
dc.date.accessioned2026-07-07T04:50:07Z
dc.date.available2026-07-07T04:50:07Z
dc.descriptionLet W be the complex reflection group G(e,1,n). In the author's previous paper, Hall-Littlewood functions associated to W were introduced. In the special case where W is a Weyl group of type B_n, they are closely related to Green polynomials of finite classical groups. In this paper, we introduce a two variables version of the above Hall-Littlewood functions, as a generalization of Macdonald functions associated to symmetric groups. A generalization of Macdonald operators is also constructed, and we characterize such functions by making use of Macdonald operators, assuming a certain conjecture.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0208061
dc.identifierhttp://arxiv.org/abs/math/0208061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64680
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleMacdonald functions associated to complex reflection groups
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