Journal of Lie Theory

no. 2
Quasi-Hamiltonian Model Spaces
Journal of Lie Theory, Volume 35 (2025) no. 2, pp. 419-444
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.
DOI: 10.5802/jolt.1390
Classification: 14M27, 53D20, 14L30
Keywords: Multiplicity free, quasi-Hamiltonian manifolds, surjective momentum map 
@article{JOLT_2025_35_2_a8,
     author = {K. Paulus and B. Van Steirteghem},
     title = {Quasi-Hamiltonian {Model} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {419--444},
     year = {2025},
     volume = {35},
     number = {2},
     doi = {10.5802/jolt.1390},
     zbl = {08075079},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1390/}
}
TY  - JOUR
AU  - K. Paulus
AU  - B. Van Steirteghem
TI  - Quasi-Hamiltonian Model Spaces
JO  - Journal of Lie Theory
PY  - 2025
SP  - 419
EP  - 444
VL  - 35
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1390/
DO  - 10.5802/jolt.1390
ID  - JOLT_2025_35_2_a8
ER  - 
%0 Journal Article
%A K. Paulus
%A B. Van Steirteghem
%T Quasi-Hamiltonian Model Spaces
%J Journal of Lie Theory
%D 2025
%P 419-444
%V 35
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1390/
%R 10.5802/jolt.1390
%F JOLT_2025_35_2_a8
K. Paulus; B. Van Steirteghem. Quasi-Hamiltonian Model Spaces. Journal of Lie Theory, Volume 35 (2025) no. 2, pp. 419-444. doi: 10.5802/jolt.1390

Cited by Sources: