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- W4238103776 abstract "We consider a symplectic action of a group $G$ on a symplectic manifold $P$, which admits a momentum mapping. Assume that $G$ is a semidirect product of ${G_1}$ by ${G_2}$. We prove that if the symplectic action of ${G_1}$ has a coadjoint equivariant momentum mapping, and if ${H^1}(un{k_1}:{mathbf {R}}) = {H^2}(un{k_2}:{mathbf {R}}) = 0$, then the symplectic action of $G$ has a coadjoint equivariant momentum mapping, where $un{k_1}$ and $un{k_2}$ are the Lie algebras of ${G_1}$ and ${G_2}$ respectively." @default.
- W4238103776 created "2022-05-12" @default.
- W4238103776 creator A5001772067 @default.
- W4238103776 date "1981-07-01" @default.
- W4238103776 modified "2023-09-26" @default.
- W4238103776 title "The Existence of a Coadjoint Equivariant Momentum Mapping for a Semidirect Product" @default.
- W4238103776 doi "https://doi.org/10.2307/2043962" @default.
- W4238103776 hasPublicationYear "1981" @default.
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