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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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On some representations of the rational Cherednik algebra
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by Tatyana Chmutova and Pavel Etingof PDF
Represent. Theory 7 (2003), 641-650 Request permission

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.
References
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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
  • © Copyright 2003 American Mathematical Society
  • 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
  • MathSciNet review: 2017070