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

Cairns, Grant; Jambor, Sebastian

doi:10.1090/S0002-9939-08-09422-7

The cohomology of the Heisenberg Lie algebras over fields of finite characteristic
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Proc. Amer. Math. Soc. 136 (2008), 3803-3807 Request permission

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.

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