On 2 - 3 Matrix Chevalley Eilenberg Cohomology  

作　　者：Joseph Dongho Epizitone Duebe-Abi Shuntah Roland Yotcha 

机构地区：[1]Department of Mathematics and Computer Science, Faculty of Sciences, University of Maroua, Maroua, Cameroon

出　　处：《Advances in Pure Mathematics》2015年第14期835-849,共15页理论数学进展（英文）

摘　　要：The main objective of this paper is to provide the tool rather than the classical adjoint representation of Lie algebra;which is essential in the conception of the Chevalley Eilenberg Cohomology. We introduce the notion of representation induced by a 2 - 3 matrix. We construct the corresponding Chevalley Eilenberg differential and we compute all its cohomological groups.The main objective of this paper is to provide the tool rather than the classical adjoint representation of Lie algebra;which is essential in the conception of the Chevalley Eilenberg Cohomology. We introduce the notion of representation induced by a 2 - 3 matrix. We construct the corresponding Chevalley Eilenberg differential and we compute all its cohomological groups.

关 键 词：LIE ALGEBRA COCHAIN 2 - 3 MATRIX Chevalley Eilenberg COHOMOLOGY 

分 类 号：O1[理学—数学]