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- W4297361197 abstract "In this paper we develop an abstract setup for hamiltonian group actions as follows: Starting with a continuous 2-cochain $omega$ on a Lie algebra $h$ with values in an $h$-module $V$, we associate subalgebras $sp(h,omega) supeq ham(h,omega)$ of symplectic, resp., hamiltonian elements. Then $ham(h,omega)$ has a natural central extension which in turn is contained in a larger abelian extension of $sp(h,omega)$. In this setting, we study linear actions of a Lie group $G$ on $V$ which are compatible with a homomorphism $g to ham(h,omega)$, i.e. abstract hamiltonian actions, corresponding central and abelian extensions of $G$ and momentum maps $J : g to V$." @default.
- W4297361197 created "2022-09-28" @default.
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- W4297361197 date "2008-02-22" @default.
- W4297361197 modified "2023-09-28" @default.
- W4297361197 title "An abstract setting for hamiltonian actions" @default.
- W4297361197 doi "https://doi.org/10.48550/arxiv.0802.3360" @default.
- W4297361197 hasPublicationYear "2008" @default.
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