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On 2 - 3 Matrix Chevalley Eilenberg Cohomology

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DOI: 10.4236/apm.2015.514078    3,515 Downloads   3,812 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Dongho, J. , Duebe-Abi, E. and Yotcha, S. (2015) On 2 - 3 Matrix Chevalley Eilenberg Cohomology. Advances in Pure Mathematics, 5, 835-849. doi: 10.4236/apm.2015.514078.

References

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http://dx.doi.org/10.1090/S0002-9947-1948-0024908-8
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http://dx.doi.org/10.1090/S0002-9947-1962-0142598-8
[4] Goze, M. (1986) Perturbations of Lie Algebra Structures. In: Hazewinkel, M. and Gerstenhaber, M., Eds., Deformation Theory of Lie Algebra and Structures and Application, NATO ASI Series, Vol. 247, Springer, Netherlands, 265-355.
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