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On tight monomials in quantized enveloping algebras
Author(s):
Robert
Bédard
Journal:
Represent. Theory
8
(2004),
290-327.
MSC (2000):
Primary 17B37;
Secondary 20G99
Posted:
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.
References:
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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
DOI:
10.1090/S1088-4165-04-00199-2
PII:
S 1088-4165(04)00199-2
Keywords:
Quantized enveloping algebras,
canonical bases
Received by editor(s):
July 1, 2003
Received by editor(s) in revised form:
April 27, 2004
Posted:
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 of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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