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arXiv:1407.6375 [math.RT]AbstractReferencesReviewsResources

Finite dimensional quotients of Hecke algebras

Ivan Losev

Published 2014-07-23Version 1

Let W be a complex reflection group. We prove that there is the maximal finite dimensional quotient of the Hecke algebra H_q(W) of W and that the dimension of this quotient coincides with |W|. This is a weak version of a Brou\'e-Malle-Rouquier conjecture from 1998. The proof is based on categories O for Rational Cherednik algebras.

Comments: 8 pages
Categories: math.RT
Subjects: 20C08, 20F55, 16G99
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