%0 Journal Article
%T Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis
%A Toshiro Kuwabara
%J Mathematics
%D 2010
%I arXiv
%X Based on the methods developed in [Kashiwara-Rouquier], we consider microlocalization of the rational Cherednik algebra of type $\Z/l\Z$. Our goal is to construct the irreducible modules and standard modules of the rational Cherednik algebra by using the microlocalization. As a consequence, we obtain the sheaves of microlocal system corresponding to holonomic systems with regular singularities.
%U http://arxiv.org/abs/1003.3407v2