Engel's theorem
id:
engel-s-theorem-238-382014
title:
Engel's theorem
text:
In representation theory, a branch of mathematics, Engel's theorem states that a finite-dimensional Lie algebra g is a nilpotent Lie algebra if and only if for each X ∈ g , the adjoint map given by ad = [ X , Y ] , is a nilpotent endomorphism on g ; i.e., ad k = 0 for some k. It is a consequence of the theorem, also called Engel's theorem, which says that if a Lie algebra of matrices consists of nilpotent matrices, then the matrices can all be simultaneously brought to a strictly upper trian
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in Lie representation theory
original url:
https://en.wikipedia.org/wiki/Engel%27s_theorem
date created:
date modified:
2024-01-20T15:25:00Z
main entity:
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image:
fields total:
13
integrity:
14