Subalgebras of Lie algebras with non-degenerate restriction of the Killing form

2007/11/30 by Stuart Armstrong, Armstrong, Stuart
Mathematics · #17B05 #17B20 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17B05 #msc:17B20

paper · pdf · doi:10.48550/arxiv.0711.4985

arxiv created 2007/11/30 · arxiv updated 2009/12/01

Abstract

Let \mfg be any finite-dimensional Lie algebra with Killling form B. Let \mfh be a subalgebra of \mfg on which the Killing form is non degenerate. Then \mfh is reductive.

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