# Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, Part I

Authors
Type
Preprint
Publication Date
Nov 28, 2014
Submission Date
Nov 28, 2014
Identifiers
arXiv ID: 1411.7990
Source
arXiv
This paper and its sequel describe the irreducible representations of the rational Cherednik algebra $H_c(W)$ for a finite Coxeter group $W$ of type $H_4$, $F_4$ with equal parameters, $E_6$, $E_7$, and $E_8$, when $c$ is not a half-integer. Herein appear the decomposition matrices of Category $\mathcal{O}_c(W)$ for $W=H_4$, $E_6$, and $E_7$, as well as a classification of finite-dimensional representations of $H_c(W)$ for these groups and for $H_c(F_4)$ with equal parameters.