TL;DR
This paper extends Mackey theory and imprimitivity theorems to symplectic geometry, enabling analysis of Hamiltonian actions induced from arbitrary closed normal subgroups.
Contribution
It develops a comprehensive framework for symplectic Mackey theory applicable to all closed normal subgroups, generalizing previous results.
Findings
Extended Mackey analysis to symplectic geometry.
Generalized imprimitivity theorem for Hamiltonian actions.
Applicable to arbitrary closed normal subgroups.
Abstract
Many years ago Kazhdan, Kostant and Sternberg defined the notion of inducing a hamiltonian action from a Lie subgroup. In this paper, we develop the attendant imprimitivity theorem and Mackey analysis in the full generality needed to deal with arbitrary closed normal subgroups.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry