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Moscow Mathematical Journal, 2010, Volume 10, Number 1, Pages 215–229
DOI: https://doi.org/10.17323/1609-4514-2010-10-1-215-229 (Mi mmj378) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Weight multiplicity polynomials of multi-variable Weyl modules

S. Loktev

Institute for Theoretical and Experimental Physics, Moscow, Russia
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DOI: https://doi.org/10.17323/1609-4514-2010-10-1-215-229
URL: https://www.ams.org/distribution/mmj/vol10-1-2010/abst10-1-2010.html#loktev
Abstract: This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight. We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.
Key words and phrases: current algebra, Weyl module.
Received: June 6, 2008; in revised form July 2, 2008
Bibliographic databases:
Document Type: Article
MSC: 17B65, 17B10
Language: English
Citation: S. Loktev, “Weight multiplicity polynomials of multi-variable Weyl modules”, Mosc. Math. J., 10:1 (2010), 215–229
Citation in format AMSBIB
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\paper Weight multiplicity polynomials of multi-variable Weyl modules
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\issue 1
\pages 215--229
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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