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

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Abstract | References | Similar Articles | Additional Information

Abstract: We study lowest weight representations of the rational Cherednik algebra attached to a complex reflection group . In particular, we generalize a number of previous results due to Berest, Etingof, and Ginzburg.

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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

Email:
etingof@math.mit.edu

DOI:
https://doi.org/10.1090/S1088-4165-03-00214-0

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