一般线性李超代数在广义Witt李超代数中的中心化子  

Centralizer of General Linear Lie Superalgebra in Generalized Witt Lie Superalgebra

作　　者：茅丹 郑克礼 MAO Dan;ZHENG Keli(College of Science,Northeast Forestry University,Harbin 150040,China)

机构地区：[1]东北林业大学理学院,哈尔滨150040

出　　处：《吉林大学学报（理学版）》2022年第1期27-34,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11626056).

摘　　要：利用同调方法讨论一般线性李超代数的一类中心化子.首先将一般线性李超代数分为gl(m,n),gl(m,0),gl(0,n)三种情形进行结构分析,其中m,n均不为0;然后分别计算这三种情形在广义Witt李超代数偶部和奇部中的中心化子;最后给出该类中心化子的结构.We discussed a class of centralizer of the general linear Lie superalgebra by using homological method.Firstly,the general linear Lie superalgebras were divided into three cases for structural analysis,namely,gl(m,n),gl(m,0)and gl(0,n),where m and n were not zero.Secondly,the centralizers of the even and odd situation of the three cases in the generalized Witt Lie superalgebras were calculated respectively.Finally,the structure of this kind of centralizer was given.

关 键 词：中心化子 李超代数 零维上同调群 

分 类 号：O152.5[理学—数学]