2 2 Fe b 20 08 An abstract setting for hamiltonian actions

  • Karl-Hermann Neeb, Cornelia Vizman
  • Published 2008

Abstract

In this paper we develop an abstract setup for hamiltonian group actions as follows: Starting with a continuous 2-cochain ω on a Lie algebra h with values in an h-module V , we associate subalgebras sp(h, ω) ⊇ ham(h, ω) of symplectic, resp., hamiltonian elements. Then ham(h, ω) has a natural central extension which in turn is contained in a larger abelian… (More)

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