Explicit Betti numbers for a family of nilpotent Lie algebras
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- by Grant F. Armstrong, Grant Cairns and Barry Jessup
- Proc. Amer. Math. Soc. 125 (1997), 381-385
- DOI: https://doi.org/10.1090/S0002-9939-97-03607-1
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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 ${\mathbb {R}}^{2n}$.References
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Bibliographic Information
- Grant F. Armstrong
- Affiliation: School of Mathematics, La Trobe University, Melbourne, Australia 3083
- Email: matgfa@lure.latrobe.edu.au
- Grant Cairns
- MR Author ID: 44265
- ORCID: 0000-0002-9011-4567
- Email: matgc@lure.latrobe.edu.au
- Barry Jessup
- Affiliation: Department of Mathematics, University of Ottawa, Ottawa, Canada K1N 6N5
- MR Author ID: 265531
- Email: bjessup@sciences.uottawa.ca
- Received by editor(s): April 20, 1994
- Received by editor(s) in revised form: August 31, 1995
- Communicated by: Roe Goodman
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 381-385
- MSC (1991): Primary 17B56; Secondary 17B30, 22E40
- DOI: https://doi.org/10.1090/S0002-9939-97-03607-1
- MathSciNet review: 1353371