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Q-characters of the tensor products

B. Feigin·E. Feigin
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Abstract

Let $π_1,...,π_n$ be an irreducible finite-dimensional $\mathfrak{sl}_2$-modules. Using the theory of the representations of the current algebras, we introduce a several ways to construct a $q$-grading on $π_1\otimes...\otimesπ_n$. We study the corresponding graded modules and prove, that they are essentially the same.

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B. Feigin, E. Feigin. 2002-03-05. Q-characters of the tensor products. https://arxiv.org/abs/math/0201111

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