Explicit Betti numbers for a family of nilpotent Lie algebras

Armstrong, Grant; Cairns, Grant; Jessup, Barry

doi:10.1090/S0002-9939-97-03607-1

Explicit Betti numbers for a family of nilpotent Lie algebras
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by Grant F. Armstrong, Grant Cairns and Barry Jessup PDF

Proc. Amer. Math. Soc. 125 (1997), 381-385 Request permission

Abstract:

Betti numbers for the Heisenberg Lie algebras were calculated by Santharoubane in his 1983 paper. However few other examples have appeared in the literature. In this note we give the Betti numbers for a family of $(2n+1)$-dimensional 2-step nilpotent extensions of $\mathbb {R}$ by ${\mathbb {R}}^{2n}$.

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