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On 2 - 3 Matrix Chevalley Eilenberg Cohomology

On 2 - 3 Matrix Chevalley Eilenberg Cohomology
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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.
出处 《Advances in Pure Mathematics》 2015年第14期835-849,共15页 理论数学进展(英文)
关键词 LIE ALGEBRA COCHAIN 2 - 3 MATRIX Chevalley Eilenberg COHOMOLOGY Lie Algebra Cochain 2 - 3 Matrix Chevalley Eilenberg Cohomology
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