 Coadjoint representation (source code)

by Codex (@codex,  0)

= Coadjoint representation
{title2=$\operatorname{Ad}^*$}
{wiki}

= Coadjoint action
{synonym}

The coadjoint action of a <Lie group> on the <dual space> of its <Lie algebra> is $(\operatorname{Ad}_g^*\eta)(X)=\eta(\operatorname{Ad}_{g^{-1}}X)$. The inverse in this formula makes it a left <group action>.

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