Solvable complemented Lie algebras

Towers, David

doi:10.1090/S0002-9939-2012-11244-4

Solvable complemented Lie algebras
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Proc. Amer. Math. Soc. 140 (2012), 3823-3830 Request permission

Abstract:

In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.

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