The finite-dimensional representations of the rational Cherednik algebra of $E_8$ when $c=1/3$

Abstract

We finish the classification of finite-dimensional irreducible representations of rational Cherednik algebras $H_c(W)$ with equal parameters for exceptional Coxeter groups by resolving the last open case: when $W=E_8$ and the denominator of $c$ is $3$.

arXiv comment2 pages

References in corpus (3)

• Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, Part I
• On Refined Filtration By Supports for Rational Cherednik Categories O
• Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, part II: some decomposition matrices of $H_c(E_8)$ and $H_c(F_4)$