Cohomology of 3-dimensional color Lie algebras

Details Cohomology of 3-dimensional color Lie algebras Cohomology of 3-dimensional color Lie algebras

2005-08-29

arxiv.org/abs/math/0508573v2

Mathematics

K-Theory and Homology

Scientific paper

We develop the cohomology theory of color Lie superalgebras due to Scheunert--Zhang in a framework of nonhomogeneous quadratic Koszul algebras. In this approach, the Chevalley--Eilenberg complex of a color Lie algebra becomes a standard Koszul complex for its universal enveloping algebra. As an application, we calculate cohomologies with trivial coefficients of 3-dimensional color Lie superalgebras.

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