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Baby Verma Modules for Rational Cherednik Algebras

Baby Verma Modules for Rational Cherednik Algebras 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. © London Mathematical Society http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Baby Verma Modules for Rational Cherednik Algebras

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References (23)

Publisher
Oxford University Press
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609303001978
Publisher site
See Article on Publisher Site

Abstract

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. © London Mathematical Society

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: May 1, 2003

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