## Algebra & Number Theory

### Finite-dimensional quotients of Hecke algebras

Ivan Losev

#### Abstract

Let $W$ be a complex reflection group. We prove that there is a maximal finite-dimensional quotient of the Hecke algebra $ℋq(W)$ of $W$, and that the dimension of this quotient coincides with $|W|$. This is a weak version of a 1998 Broué–Malle–Rouquier conjecture. The proof is based on the categories $O$ for rational Cherednik algebras.

#### Article information

Source
Algebra Number Theory, Volume 9, Number 2 (2015), 493-502.

Dates
Accepted: 18 February 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.ant/1510842289

Digital Object Identifier
doi:10.2140/ant.2015.9.493

Mathematical Reviews number (MathSciNet)
MR3320850

Zentralblatt MATH identifier
1323.20008

#### Citation

Losev, Ivan. Finite-dimensional quotients of Hecke algebras. Algebra Number Theory 9 (2015), no. 2, 493--502. doi:10.2140/ant.2015.9.493. https://projecteuclid.org/euclid.ant/1510842289

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