Q-characters of the tensor products

Abstract

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.

21 pages, with added references

References in corpus (2)

• The Andrews-Gordon identities and $q$-multinomial coefficients
• Extended vertex operator algebras and monomial bases

Cited by in corpus (1)

• The PBW Filtration, Demazure Modules and Toroidal Current Algebras