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arXiv · 1407.6375

Finite dimensional quotients of Hecke algebras

Ivan Losev
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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 Broué-Malle-Rouquier conjecture from 1998. The proof is based on categories O for Rational Cherednik algebras.

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Ivan Losev. 2014-07-23. Finite dimensional quotients of Hecke algebras. https://doi.org/10.2140/ant.2015.9.493

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