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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143259Let $\mf{g}$ 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.Rings and Algebras17B05, 17B20Subalgebras of Lie algebras with non-degenerate restriction of the Killing formtext