摘要
通过引入限制权的αtypicαl度,给出一般线性李超代数的限制单表示与其偶部一般线性李代数的一类表示的关系,进而给出了αtypicαl度的界。
This paper focused on the restricted representation for general linear Lie superalgebra. By introducing the atypical degree of the restricted weight, the relation between the restricted irreducible representation and that of its even part for general linear Lie algebra was given. Furthermore, the upper boundary of the atypical degree was obtained.
出处
《上海应用技术学院学报（自然科学版）》
2013年第2期165-167,172,共4页
Journal of Shanghai Institute of Technology: Natural Science
基金
上海市优秀青年科研专项基金(YYY10046)
上海应用技术学院引进人才启动项目(YJ2009-14)
关键词
李超代数
限制表示
Kac-模
权
Lie superalgebra
restricted representation
Kac-module
weight
