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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 tight monomials in quantized enveloping algebras
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by Robert Bédard PDF
Represent. Theory 8 (2004), 290-327 Request permission

Abstract:

In this paper, the author studies when some monomials are in the canonical basis of the quantized enveloping algebra corresponding to a simply laced semisimple finite dimensional complex Lie algebra.
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Additional Information
  • Robert Bédard
  • Affiliation: Département de mathematiques, Université du Québec à Montréal, C.P. 8888, Succ. Centre-Ville, Montréal, Québec, H3C 3P8, Canada
  • Email: bedard@lacim.uqam.ca
  • Received by editor(s): July 1, 2003
  • Received by editor(s) in revised form: April 27, 2004
  • Published electronically: July 13, 2004
  • Additional Notes: The author thanks George Lusztig and Robert Marsh for several conversations on the subjects in this article. The author was supported in part by a NSERC grant
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 8 (2004), 290-327
  • MSC (2000): Primary 17B37; Secondary 20G99
  • DOI: https://doi.org/10.1090/S1088-4165-04-00199-2
  • MathSciNet review: 2077484