Lie algebras of cohomological codimension one

Authors

Grant F. Armstrong, Latrobe University
Grant Cairns, Latrobe University
Gunky Kim, University of WollongongFollow

RIS ID

25562

Publication Details

Armstrong, G. F., Cairns, G. & Kim, G. (1999). Lie algebras of cohomological codimension one. Proceedings of the American Mathematical Society, 127 (3), 709-714.

Abstract

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.