无限维模李超代数H和SHO的阶化模  

Graded Modules of Infinite-dimensional Modular Lie Superalgebras H and SHO

作　　者：张华雁 徐晓宁[1] ZHANG Huayan;XU Xiaoning(School of Mathematics,Liaoning University,Shenyang 110036,China;Liaocheng Yizhong Foreign Language School,Liaocheng Shandong 252000,China)

机构地区：[1]辽宁大学数学院,沈阳110036 [2]聊城颐中外国语学校,山东聊城252000

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)。

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.

关 键 词：模李超代数 伸张 混合积 阶化模 

分 类 号：O152.5[理学—数学]