Complex Reflection Groups and Fake Degrees

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dc.creatorOpdam, Eric M.
dc.date1998-08-05
dc.date.accessioned2026-07-07T05:25:38Z
dc.date.available2026-07-07T05:25:38Z
dc.descriptionIn this paper we study the Hecke algebra associated with a complex reflection group W. We discuss some properties of the Galois group of the splitting field of this algebra, and study its action on the so-called fake degrees of W. The methods we use to study the Hecke algebra are based on the construction of representations of this algebra as monodromy of equations of Knizhnik-Zamolodchikov type.
dc.description27 pages, no figures. These notes were prepared by K Taniguchi on the bases of two lectures that were presented by the author at RIMS, Kyoto university (Japan) in the fall of 1997. The files are in latex format
dc.identifierhttps://arxiv.org/abs/math/9808026
dc.identifierhttp://arxiv.org/abs/math/9808026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77251
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject20F99;20G99
dc.titleComplex Reflection Groups and Fake Degrees
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