Tensor products of level zero representations
量子代数
2007-05-23 v1 表示论
摘要
We define an action of the braid group (associated with a simple Lie algebra) on the space of -tuples of power series in an indeterminate u, with constant term zero. Using this, we give a sufficient condition for a tensor product of finite-dimensional representations of quantum affine algebras to be cyclic on the tensor product of highest weight vectors. In particular, this proves a generalization of a recently established conjecture of Akasaka and Kashiwara (see qa/0010293 and qa/0006084).
引用
@article{arxiv.math/0012116,
title = {Tensor products of level zero representations},
author = {Vyjayanthi Chari},
journal= {arXiv preprint arXiv:math/0012116},
year = {2007}
}