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

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

2007-11-30

arxiv.org/abs/0711.4985v1

Mathematics

Rings and Algebras

Scientific paper

Let $\mf{g}$ be any finite-dimensional Lie algebra with Killling form $B$.
Let $\mf{h}$ be a subalgebra of $\mf{g}$ on which the Killing form is non
degenerate. Then $\mf{h}$ is reductive.

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