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arXiv · 1612.03843

Multiplicity free quasi-Hamiltonian manifolds

Friedrich Knop
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Abstract

A (quasi-)Hamiltonian manifold is called multiplicity free if all of its symplectic reductions are 0-dimensional. In this paper, we classify multiplicity free Hamiltonian actions for (twisted) loop groups or, equivalently, multiplicity free (twisted) quasi-Hamiltonian manifolds for simply connected compact Lie groups. As a result we recover old and find new examples of these structures.

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Friedrich Knop. 2016-12-30. Multiplicity free quasi-Hamiltonian manifolds. https://arxiv.org/abs/1612.03843

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