# Representation Theory of Rational Cherednik Algebras of Type $\mathbb Z/l \mathbb Z$ via Microlocal Analysis

### Toshiro Kuwabara

Higher School of Economics, Moscow, Russian Federation

## Abstract

Based on the methods developed in [KR], we consider microlocalization of rational Cherednik algebras of type $\mathbb Z/l \mathbb Z$. Our goal is to construct irreducible modules and standard modules of these rational Cherednik algebras by using microlocalization. As a consequence, we obtain sheaves corresponding to holonomic systems with regular singularities.

## Cite this article

Toshiro Kuwabara, Representation Theory of Rational Cherednik Algebras of Type $\mathbb Z/l \mathbb Z$ via Microlocal Analysis. Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, pp. 87–110

DOI 10.4171/PRIMS/97