Adjoint representation of a Lie group
= Adjoint representation of a Lie group
{c}
{title2=$\operatorname{Ad}$}
= Adjoint action
{synonym}
The adjoint representation of a Lie group is its action on its Lie algebra by differentiating conjugation. For a matrix Lie group, $\operatorname{Ad}_gX=gXg^{-1}$.