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Some elementary results on the cohomology of graded Lie algebras. (English) Zbl 0552.17012

Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113/114, 156-166 (1984).
We characterize solvable graded Lie algebras of finite global dimension, and prove an analogue of Serre’s theorem on virtual and ordinary global dimension of torsion free groups.
[For the entire collection see Zbl 0535.00017.]

MSC:

17B70 Graded Lie (super)algebras
17B56 Cohomology of Lie (super)algebras
17B55 Homological methods in Lie (super)algebras

Citations:

Zbl 0535.00017