Integrable and Weyl modules for quantum affine sl_2
量子代数
2007-05-23 v1
摘要
We study the universal integrable modules W_q(m) of level zero for quantum affine sl_2 and a family of maximal finite--dimensional quotients of these modules. We show that these all have dimension 2^m. Using this, we are able to realize W_q(m) as the space of invariants of a reprsentation of the Hecke algebra H_m. We also give a conjecture in the general case.
引用
@article{arxiv.math/0007123,
title = {Integrable and Weyl modules for quantum affine sl_2},
author = {Vyjayanthi Chari and Andrew Pressley},
journal= {arXiv preprint arXiv:math/0007123},
year = {2007}
}
备注
To appear in the Proceedings of the LMS symposium on Quantum Groups, Durham, England