Baby Verma modules for rational Cherednik algebras

Gordon, I. (2003) Baby Verma modules for rational Cherednik algebras. Bulletin of the London Mathematical Society, 35, pp. 321-336. (doi: 10.1112/S0024609303001978)

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Abstract

This paper introduces baby Verma modules for symplectic reflection algebras of complex reflection groups at parameter t = 0 (the so-called rational Cherednik algebras at parameter t = 0, and presents their most basic properties. Baby Verma modules are then used to answer several problems posed by Etingof and Ginzburg, and to give an elementary proof of a theorem of Finkelberg and Ginzburg. 2000 Mathematics Subject Classification 16Rxx, 16S38, 05E10.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:UNSPECIFIED
Authors: Gordon, I.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bulletin of the London Mathematical Society
ISSN:1469-2120
ISSN (Online):0024-6093

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