阶化Cartan型李代数的上同调  

COHOMOLOGY OF GRADED LIE ALGEBRA OF CARTAN TYPE

作　　者：蒋志洪[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《数学年刊（A辑）》2002年第4期407-414,共8页Chinese Annals of Mathematics

摘　　要：本文利用广义限制李代数的概念和应用Frobenius代数的一些性质来研究广义限制李代数的广义限制完备上同调,并利用广义限制上同调与通常上同调的关系尝试着给出一种计算系数为不可约模的阶化Cartan型李代数上同调的方法.In this paper, the concept of generalized restricted Lie algebra and the theory of Frobe-nius algebra are applied to study generalized restricted complete cohomology of a generalized restricted Lie algebra. By the relation of the generalized restricted cohomology and the ordinary cohomology of a generalized restricted Lie algebra, the author gives a way to compute the cohomology of graded Lie algebra of Cartan type with coefficients in a non-trivial irre-ducile module.

关 键 词：阶化Cartan型李代数 上同调 广义限制李代数 FROBENIUS代数 

分 类 号：O152.5[理学—数学]