Lie algebras of cohomological codimension one

Citation
Gf. Armstrong et al., Lie algebras of cohomological codimension one, P AM MATH S, 127(3), 1999, pp. 709-714
Citations number
3
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
3
Year of publication
1999
Pages
709 - 714
Database
ISI
SICI code
0002-9939(199903)127:3<709:LAOCCO>2.0.ZU;2-G
Abstract
We show that if g is a finite dimensional real Lie algebra, then g has coho mological dimension cd(g) = dim(g)-1 if and only if g is a unimodular exten sion of the two-dimensional non-Abelian Lie algebra aff.