Multiplicity free quasi-Hamiltonian manifolds
Symplectic Geometry
2017-01-02 v2 Differential Geometry
Representation Theory
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.
Keywords
Cite
@article{arxiv.1612.03843,
title = {Multiplicity free quasi-Hamiltonian manifolds},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:1612.03843},
year = {2017}
}
Comments
v1: 42 pages; v2: 42 pages, minor corrections, reference to a paper of Meinrenken added