Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis

Details Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis

2010-03-17

arxiv.org/abs/1003.3407v2

Mathematics

Representation Theory

17 pages, AMSLaTeX with XYpic. Revised: the sign of parameters are modified

Scientific paper

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.

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