A class of nilpotent Lie algebras whose center acts nontrivially in cohomology

Author:

Cairns Grant,Jessup Barry,Nikolayevsky Yuri

Abstract

We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. The cohomology of the Heisenberg Lie algebras over fields of finite characteristic;Cairns, Grant;Proc. Amer. Math. Soc.,2008

2. Cohomology operations for Lie algebras;Cairns, Grant;Trans. Amer. Math. Soc.,2004

3. Free submodules for the central representation in the cohomology of Lie algebras;Cairns, Grant;Proc. Amer. Math. Soc.,2008

4. Cohomologie des algèbres de Lie nilpotentes;Dixmier, J.;Acta Sci. Math. (Szeged),1955

5. Universitext;Huybrechts, Daniel,2005

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