JournalsprimsVol. 49, No. 1pp. 87–110

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

  • Toshiro Kuwabara

    Higher School of Economics, Moscow, Russian Federation
Representation Theory of Rational Cherednik Algebras of Type $\mathbb Z/l \mathbb Z$ via Microlocal Analysis cover
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Abstract

Based on the methods developed in [KR], we consider microlocalization of rational Cherednik algebras of type Z/lZ\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 Z/lZ\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