Lie algebras of cohomological codimension one
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- by Grant F. Armstrong, Grant Cairns and Gunky Kim
- Proc. Amer. Math. Soc. 127 (1999), 709-714
- DOI: https://doi.org/10.1090/S0002-9939-99-04562-1
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Abstract:
We show that if $\mathfrak {g}$ is a finite dimensional real Lie algebra, then $\mathfrak {g}$ has cohomological dimension $cd(\mathfrak {g})=\dim (\mathfrak {g})-1$ if and only if $\mathfrak {g}$ is a unimodular extension of the two-dimensional non-Abelian Lie algebra $\mathfrak {aff}$.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
- Affiliation: School of Mathematics, La Trobe University, Melbourne, Australia 3083
- MR Author ID: 44265
- ORCID: 0000-0002-9011-4567
- Email: G.Cairns@latrobe.edu.au
- Gunky Kim
- Affiliation: School of Mathematics, La Trobe University, Melbourne, Australia 3083
- Email: G.Kim@latrobe.edu.au
- Received by editor(s): May 13, 1997
- Received by editor(s) in revised form: July 7, 1997
- Communicated by: Roe Goodman
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 709-714
- MSC (1991): Primary 17B56
- DOI: https://doi.org/10.1090/S0002-9939-99-04562-1
- MathSciNet review: 1469393