Dunkl operators for complex reflection groups

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dc.creatorDunkl, C. F.
dc.creatorOpdam, E. M.
dc.date2001-08-28
dc.date.accessioned2026-07-07T04:43:08Z
dc.date.available2026-07-07T04:43:08Z
dc.descriptionDunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parametrized family of deformations of the polynomial De Rham complex. This leads to the study of the polynomial ring as a module over the "rational Cherednik algebra", and a natural contravariant form on this module. In the case of the imprimitive complex reflection groups G(m,p,N), the set of singular parameters in the parameter family of these structures is described explicitly, using the theory of nonsymmetric Jack polynomials.
dc.description36 pages; Programme on Symmetric Functions and Macdonald Polynomials at the Isaac Newton Institute
dc.identifierhttps://arxiv.org/abs/math/0108185
dc.identifierhttp://arxiv.org/abs/math/0108185
dc.identifierProc. London Math. Soc.(3) 86 (2003), 70-108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62088
dc.subjectRepresentation Theory
dc.subject20F55 (Primary); 52C35, 05E05, 33C08 (Secondary)
dc.titleDunkl operators for complex reflection groups
dc.typetext

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