On some representations of the rational Cherednik algebra
Authors:
Tatyana Chmutova and Pavel Etingof
Journal:
Represent. Theory 7 (2003), 641-650
MSC (2000):
Primary 16G10; Secondary 16Sxx, 20C08
DOI:
https://doi.org/10.1090/S1088-4165-03-00214-0
Published electronically:
November 21, 2003
MathSciNet review:
2017070
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We study lowest weight representations of the rational Cherednik algebra attached to a complex reflection group $W$. In particular, we generalize a number of previous results due to Berest, Etingof, and Ginzburg.
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[BEG]BEG Yu. Berest, P. Etingof, V. Ginzburg, Finite dimensional representations of rational Cherednik algebras, Int. Math. Res. Not. 2003, no. 19, 1053–1088.
[BEG1]BEG1 Yuri Berest, Pavel Etingof, Victor Ginzburg, Cherednik algebras and differential operators on quasi-invariants, Duke Math. J. 118, no. 2 (2003), 279–337.
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Additional Information
Tatyana Chmutova
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email:
chmutova@math.harvard.edu
Pavel Etingof
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
MR Author ID:
289118
Email:
etingof@math.mit.edu
Received by editor(s):
April 8, 2003
Received by editor(s) in revised form:
October 10, 2003
Published electronically:
November 21, 2003
Article copyright:
© Copyright 2003
American Mathematical Society
