School of Mathematics, La Trobe University, Melbourne, Australia 3083 ; School of Mathematics, La Trobe University, Melbourne, Australia 3083 ; Department of Mathematics, University of Ottawa, Ottawa, Canada K1N 6N5
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 -dimensional 2-step nilpotent extensions of by .