Journal of Lie Theory 35 (2025), No. 2, 419--444
Copyright Heldermann Verlag 2025
Quasi-Hamiltonian Model Spaces
Kay Paulus
math@kaypaulus.de
Bart Van Steirteghem
Department Mathematik, Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany
bartvs@math.fau.de
Let K be a simple and simply connected compact Lie group. We call a (twisted) quasi-Hamiltonian K-manifold M a quasi-Hamiltonian model space if it is multiplicity free and its momentum map is surjective. We explicitly identify the subgroups of the Lie algebra of a maximal torus of K, which, by F. Knop's classification of multiplicity free quasi-Hamiltonian manifolds, are in one-to-one correspondence with the isomorphism classes of quasi-Hamiltonian model K-spaces.
Keywords: Multiplicity free, quasi-Hamiltonian manifolds, surjective momentum map.
MSC: 14M27, 53D20, 14L30.
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