Lie algebra homology
The abelian homology of a -Lie algebra with coefficients in the left -module is defined as where is the ground field understood as a trivial module over the universal enveloping algebra . In particular it is a derived functor. It can be computed using Chevalley-Eilenberg chain complex as the homology of the chain complex
- C. Chevalley, S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63, (1948). 85–124.
Revised on July 21, 2010 20:57:05
by Zoran Škoda