Q-characters of the tensor products

Details Q-characters of the tensor products Q-characters of the tensor products

2002-01-14

arxiv.org/abs/math/0201111v2

Mathematics

Quantum Algebra

21 pages, with added references

Scientific paper

Let $\pi_1,...,\pi_n$ 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
$\pi_1\otimes...\otimes\pi_n$. We study the corresponding graded modules and
prove, that they are essentially the same.

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