摘要
主要研究特征p>2的代数闭域上无限维Cartan型李超代数H和SHO的阶化模。利用伸张和混合积实现的方法,确定了无限维模李超代数H和SHO的阶化模。进而,讨论了无限维模李超代数H和SHO的阶化模的不可约性。
The graded modules for the infinite-dimensional Cartan-type Lie superalgebras H and SHO were considered over an algebraically closed field of characteristic p>2.By means of extension and mixed product realization,the graded modules for the infinite-dimensional modular Lie superalgebras H and SHO were determined.Furthermore,the irreducibilities of graded modules for the infinite-dimensional modular Lie superalgebras H and SHO were investigated.
作者
张华雁
徐晓宁
ZHANG Huayan;XU Xiaoning(School of Mathematics,Liaoning University,Shenyang 110036,China;Liaocheng Yizhong Foreign Language School,Liaocheng Shandong 252000,China)
出处
《海南热带海洋学院学报》
2021年第2期50-57,共8页
Journal of Hainan Tropical Ocean University
基金
国家自然科学基金项目(1151274)
辽宁省教育厅科学研究一般项目(L201503)。
关键词
模李超代数
伸张
混合积
阶化模
modular Lie superalgebras
extension
mixed product
graded module
