%0 Journal Article %T On 2 - 3 Matrix Chevalley Eilenberg Cohomology %A Joseph Dongho %A Epizitone Duebe-Abi %A Shuntah Roland Yotcha %J Advances in Pure Mathematics %P 835-849 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.514078 %X 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. %K Lie Algebra %K Cochain %K 2 - 3 Matrix Chevalley Eilenberg %K Cohomology %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=61921