The cohomology of the Heisenberg Lie algebras over fields of finite characteristic

Author:

Cairns Grant,Jambor Sebastian

Abstract

We give explicit formulas for the cohomology of the Heisenberg Lie algebras over fields of finite characteristic. We use this to show that in characteristic two, unlike all other cases, the Betti numbers are unimodal.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

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3. On the cohomology of extensions by a Heisenberg Lie algebra;Pouseele, Hannes;Bull. Austral. Math. Soc.,2005

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5. The homology of Heisenberg Lie algebras over fields of characteristic two;Sköldberg, Emil;Math. Proc. R. Ir. Acad.,2005

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