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BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS

Published online by Cambridge University Press:  12 May 2003

IAIN GORDON
IAIN GORDON
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW [email protected]
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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.

Keywords

16Rxx16S3805E10
Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 3 , May 2003 , pp. 321 - 336
Copyright
© The London Mathematical Society 2003

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