Lie algebras

Engel subalgebra

In mathematics, an Engel subalgebra of a Lie algebra with respect to some element x is the subalgebra of elements annihilated by some power of ad x. Engel subalgebras are named after Friedrich Engel. For finite-dimensional Lie algebras over infinite fields the minimal Engel subalgebras are the Cartan subalgebras. (Wikipedia).

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Related pages

Lie algebra | Engel's theorem | Cartan subalgebra