Cohomology of 3-dimensional Color Lie Algebras
نویسندگان
چکیده
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 Zn 2 – graded 3–dimensional color Lie superalgebras.
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