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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
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
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
Linking options:
https://www.mathnet.ru/eng/mmj64 https://www.mathnet.ru/eng/mmj/v2/i3/p567
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Abstract page: | 488 | References: | 74 |
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