Finite-dimensional Representations of Quantum Affine Algebras
q-alg
2015-12-22 v2 Quantum Algebra
Abstract
We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies in particular that the irreducibility of the tensor products of fundamental representations is completely described by the poles of the R-matrices. The conjecture is proved in certain cases.
Cite
@article{arxiv.q-alg/9703028,
title = {Finite-dimensional Representations of Quantum Affine Algebras},
author = {Tatsuya Akasaka and Masaki Kashiwara},
journal= {arXiv preprint arXiv:q-alg/9703028},
year = {2015}
}
Comments
small corrections. Conjecture 1 and the main results in this paper are affirmatively solved in : On level-zero representations of quantized affine algebras, Duke Math. J. 112 (2002) arXiv:math/0010293