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Representation Theory

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On tight monomials in quantized enveloping algebras

Author: Robert Bédard
Journal: Represent. Theory 8 (2004), 290-327
MSC (2000): Primary 17B37; Secondary 20G99
Published electronically: July 13, 2004
MathSciNet review: 2077484
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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

Keywords: Quantized enveloping algebras, canonical bases
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
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.