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.

See also

• Engel's theorem

References

• Winter, David J. (1972), Abstract Lie algebras, The M.I.T. Press, Cambridge, Mass.-London, ISBN 978-0-486-46282-0, https://books.google.com/books?id=ajgfDG_c8BwC