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Moscow Mathematical Journal, 2002, Volume 2, Number 3, Pages 567–588
DOI: https://doi.org/10.17323/1609-4514-2002-2-3-567-588 (Mi mmj64) 		 
This article is cited in 32 scientific papers (total in 32 papers)

$q$-characters of the tensor products in $\mathbf{sl}_2$-case

B. L. Feigina, E. B. Feiginb

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Independent University of Moscow
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DOI: https://doi.org/10.17323/1609-4514-2002-2-3-567-588
Abstract: Let $\pi,\dots,\pi_n$ be irreducible finite-dimensional $\mathbf{sl}_2$-modules. Using the theory of representations of current algebras, we introduce several ways to construct a $q$-grading on $\pi_1\otimes\dots\otimes\pi_n$. We study the corresponding graded modules and prove that they are essentially the same.
Key words and phrases: Universal enveloping algebra, representation theory, current algebra, Gordon's formula.
Received: April 14, 2002
Bibliographic databases:
MSC: Primary 05A30; Secondary 17B35
Language: English
Citation: B. L. Feigin, E. B. Feigin, “$q$-characters of the tensor products in $\mathbf{sl}_2$-case”, Mosc. Math. J., 2:3 (2002), 567–588
Citation in format AMSBIB
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\by B.~L.~Feigin, E.~B.~Feigin
\paper $q$-characters of the tensor products in $\mathbf{sl}_2$-case
\jour Mosc. Math.~J.
\yr 2002
\vol 2
\issue 3
\pages 567--588
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