On irreducibility of tensor products of evaluation modules for the quantum affine algebra
Quantum Algebra
2009-11-10 v2 Representation Theory
Abstract
Every irreducible finite-dimensional representation of the quantized enveloping algebra U_q(gl_n) can be extended to the corresponding quantum affine algebra via the evaluation homomorphism. We give in explicit form the necessary and sufficient conditions for irreducibility of tensor products of such evaluation modules.
Keywords
Cite
@article{arxiv.math/0309468,
title = {On irreducibility of tensor products of evaluation modules for the quantum affine algebra},
author = {A. I. Molev and V. N. Tolstoy and R. B. Zhang},
journal= {arXiv preprint arXiv:math/0309468},
year = {2009}
}
Comments
22 pages. Some references are added