Finite dimensional quotients of Hecke algebras
Representation Theory
2016-01-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1407.6375,
title = {Finite dimensional quotients of Hecke algebras},
author = {Ivan Losev},
journal= {arXiv preprint arXiv:1407.6375},
year = {2016}
}
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8 pages