Tensor product decomposition rules for weight modules over the Hopf-Ore extensions of group algebras
Tensor product decomposition rules for weight modules over the Hopf-Ore extensions of group algebras
复制标题
群代数 Hopf-Ore 扩展上权重模块的张量积分解规则
DOI:
10.1080/00927872.2017.1350697
复制
发表时间:
2018
影响因子:
0.7
通讯作者:
Chen Hui-Xiang
中科院分区:
文献类型:
--
作者:
Sun Hua;Chen Hui-Xiang
In this paper, we investigate the tensor structure of the category of finite- dimensional weight modules over the Hopf–Ore extensionskG(χ−1,a,0) of group algebraskG. The tensor product decomposition rules for all indecomposable weight modules are explicitly given under the assumptions thatkis an algebraically closed field of characteristic zero, and the orders ofχandχ(a) are the same.