Classification of graded Hecke algebras for complex reflection groups

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dc.creatorRam, Arun
dc.creatorShepler, Anne V.
dc.date2002-09-11
dc.date.accessioned2026-07-07T04:50:47Z
dc.date.available2026-07-07T04:50:47Z
dc.descriptionThe graded Hecke algebra for a finite Weyl group is intimately related to the geometry of the Springer correspondence. A construction of Drinfeld produces an analogue of a graded Hecke algebra for any finite subgroup of GL(V). This paper classifies all the algebras obtained by applying Drinfeld's construction to complex reflection groups. By giving explicit (though nontrivial) isomorphisms, we show that the graded Hecke algebras for finite real reflection groups constructed by Lusztig are all isomorphic to algebras obtained by Drinfeld's construction. The classification shows that there exist algebras obtained from Drinfeld's construction which are not graded Hecke algebras as defined by Lusztig for real as well as complex reflection groups.
dc.description23 pages, to appear in Commentarii Mathematici Helvetici
dc.identifierhttps://arxiv.org/abs/math/0209135
dc.identifierhttp://arxiv.org/abs/math/0209135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64918
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20C08; 20F55; 52B30; 05E15
dc.titleClassification of graded Hecke algebras for complex reflection groups
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