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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2002
- DOI:
- 10.48550/arXiv.math/0201111
- arXiv:
- arXiv:math/0201111
- Bibcode:
- 2002math......1111F
- Keywords:
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- Quantum Algebra;
- 05A30
- E-Print:
- 21 pages, with added references