Finite dimensional quotients of Hecke algebras

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.

8 pages

References in corpus (1)

• The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group G26

Cited by in corpus (6)

• Derived equivalences for Rational Cherednik algebras
• Restricted rational Cherednik algebras
• Harish-Chandra bimodules over rational Cherednik algebras
• On Refined Filtration By Supports for Rational Cherednik Categories O
• On categories $\mathcal{O}$ of quiver varieties overlying the bouquet graphs
• Generalized nil-Coxeter algebras over discrete complex reflection groups