Journal of Generalized Lie Theory and Applications

Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two

Abstract

Grant CAIRNS

It is known that the Betti numbers of the Heisenberg Lie algebras are unimodal over elds of characteristic two. This note observes that they are log-concave. An example is given of a nilpotent Lie algebra in characteristic two for which the Betti numbers are unimodal but not log-concave.