TITLE:
On 2 - 3 Matrix Chevalley Eilenberg Cohomology
AUTHORS:
Joseph Dongho, Epizitone Duebe-Abi, Shuntah Roland Yotcha
KEYWORDS:
Lie Algebra, Cochain, 2 - 3 Matrix Chevalley Eilenberg, Cohomology
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.14,
December
16,
2015
ABSTRACT: 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.