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On the category O for rational Cherednik algebras
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by
Victor Ginzburg
,
Nicolas Guay
,
Eric Opdam
,
Raphaël Rouquier
| Venue: | Invent. Math |
| Citations: | 110 - 13 self |
BibTeX
@ARTICLE{Ginzburg_onthe,
author = {Victor Ginzburg and Nicolas Guay and Eric Opdam and Raphaël Rouquier},
title = {On the category O for rational Cherednik algebras},
journal = {Invent. Math},
year = {},
pages = {617--651}
}
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Abstract
Abstract. We study the category O of representations of the rational Cherednik algebra AW attached to a complex reflection group W. We construct an exact functor, called Knizhnik-Zamolodchikov functor: O → HW-mod, where HW is the (finite) Iwahori-Hecke algebra associated to W. We prove that the Knizhnik-Zamolodchikov functor induces an equivalence between O/Otor, the quotient of O by the subcategory of AW-modules supported on the discriminant,
