基于Weyl群胚的广义量子群有限维不可约表示分类
量子代数
2013-09-10 v3 表示论
摘要
我们对广义量子群的有限维不可约最高权模进行了分类，其正部分为无限维，并具有一个带有不可约有限正根系的Kharchenko PBW基。
引用
@article{arxiv.1105.0160,
title = {Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids},
author = {Saeid Azam and Hiroyuki Yamane and Malihe Yousofzadeh},
journal= {arXiv preprint arXiv:1105.0160},
year = {2013}
}
备注
59 pages, We give and prove some reduced expressions of the longest elements of not only the Weyl groupoids treated in the paper, but also the finite Weyl groups