General linear Lie algebra
= General linear Lie algebra
{title2=$\mathfrak{gl}(V)=\operatorname{End}(V)$}
The <endomorphisms> of a <vector space> form a <Lie algebra> under the <commutator> $[A,B]=AB-BA$. It is the <Lie algebra> of the <general linear group>; the <Jacobi identity> follows by expanding associative products.