Based on the methods developed in [KR], we consider microlocalization of rational Cherednik algebras of type . 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 via Microlocal Analysis. Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, pp. 87–110DOI 10.4171/PRIMS/97