Cohomology of 3-dimensional color Lie algebras
K-Theory and Homology
2009-11-29 v2 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/0508573,
title = {Cohomology of 3-dimensional color Lie algebras},
author = {Dmitri Piontkovski and Sergei Silvestrov},
journal= {arXiv preprint arXiv:math/0508573},
year = {2009}
}