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- W2021330333 abstract "We call a hamiltonian N-space emph{primary} if its moment map is onto a single coadjoint orbit. The question has long been open whether such spaces always split as (homogeneous) x (trivial), as an analogy with representation theory might suggest. For instance, Souriau's emph{barycentric decomposition theorem} asserts just this when N is a Heisenberg group. For general N, we give explicit examples which do not split, and show instead that primary spaces are always flat bundles over the coadjoint orbit. This provides the missing piece for a full Mackey theory of hamiltonian G-spaces, where G is an overgroup in which N is normal." @default.
- W2021330333 created "2016-06-24" @default.
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- W2021330333 date "2015-01-01" @default.
- W2021330333 modified "2023-09-27" @default.
- W2021330333 title "Primary spaces, Mackey’s obstruction, and the generalized barycentric decomposition" @default.
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- W2021330333 doi "https://doi.org/10.4310/jsg.2015.v13.n1.a3" @default.
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