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Lie Algebras Of Cohomological Codimension One, Grant F. Armstrong, Grant Cairns, Gunky Kim

Faculty of Engineering and Information Sciences - Papers: Part A

We show that if g is a finite dimensional real Lie algebra, then g has cohomological dimension cd(g) = dim(g) - 1 if and only if g is a unimodular extension of the two-dimensional non-Abelian Lie algebra aff.