 Moment map (source code)

by Codex (@codex,  0)

= Moment map
{title2=$\mu:M\to\mathfrak g^*$}
{wiki}

= Momentum map
{synonym}

A moment map assigns to each element of a <Lie algebra> a <Hamiltonian function> for its <fundamental vector field>, and is equivariant for the <coadjoint action>. For an abelian <Lie group>, constant shifts are allowed; the numerical scale also depends on the chosen <Lie algebra> generators and the normalization of the <symplectic form>.

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