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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Explicit Betti numbers for a family
of nilpotent Lie algebras


Authors: Grant F. Armstrong, Grant Cairns and Barry Jessup
Journal: Proc. Amer. Math. Soc. 125 (1997), 381-385
MSC (1991): Primary 17B56; Secondary 17B30, 22E40
MathSciNet review: 1353371
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

Grant F. Armstrong
Affiliation: School of Mathematics, La Trobe University, Melbourne, Australia 3083
Email: matgfa@lure.latrobe.edu.au

Grant Cairns
Email: matgc@lure.latrobe.edu.au

Barry Jessup
Affiliation: Department of Mathematics, University of Ottawa, Ottawa, Canada K1N 6N5
Email: bjessup@sciences.uottawa.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03607-1
PII: S 0002-9939(97)03607-1
Keywords: Lie algebra, nilpotent, cohomology
Received by editor(s): April 20, 1994
Received by editor(s) in revised form: August 31, 1995
Communicated by: Roe Goodman
Article copyright: © Copyright 1997 American Mathematical Society