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

Grant CAIRNS
2008 Journal of Generalized Lie Theory and Applications  
It is known that the Betti numbers of the Heisenberg Lie algebras are unimodal over fields 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.
doi:10.4172/1736-4337.1000162 fatcat:zzzvdifncvgydacbgkqxlbhjsm