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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.
See also
editReferences
edit- Winter, David J. (1972), Abstract Lie algebras, The M.I.T. Press, Cambridge, Mass.-London, ISBN 978-0-486-46282-0, MR 0332905
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