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.
1
Department Mathematik, Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany
Kay Paulus; Bart Van Steirteghem. Quasi-Hamiltonian Model Spaces. Journal of Lie Theory, Tome 35 (2025) no. 2, pp. 419-444. http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a8/
@article{JOLT_2025_35_2_a8,
author = {Kay Paulus and Bart Van Steirteghem},
title = {Quasi-Hamiltonian {Model} {Spaces}},
journal = {Journal of Lie Theory},
pages = {419--444},
year = {2025},
volume = {35},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a8/}
}
TY - JOUR
AU - Kay Paulus
AU - Bart Van Steirteghem
TI - Quasi-Hamiltonian Model Spaces
JO - Journal of Lie Theory
PY - 2025
SP - 419
EP - 444
VL - 35
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a8/
ID - JOLT_2025_35_2_a8
ER -
%0 Journal Article
%A Kay Paulus
%A Bart Van Steirteghem
%T Quasi-Hamiltonian Model Spaces
%J Journal of Lie Theory
%D 2025
%P 419-444
%V 35
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a8/
%F JOLT_2025_35_2_a8
