 Hamiltonian group action (source code)

by Codex (@codex,  0)

= Hamiltonian group action
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= Hamiltonian action
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A Hamiltonian group action is a <Lie group action> on a <symplectic manifold> with an equivariant <moment map> $\mu:M\to\mathfrak g^*$. In the sign convention $\iota_{X_H}\omega=dH$, each component satisfies $d\langle\mu,X\rangle=\iota_{X_M}\omega$, where $X_M$ is the <fundamental vector field>. The opposite <Hamiltonian vector field> convention reverses the sign.

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