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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