Quasi-Hamiltonian model spaces
Representation Theory
2022-12-08 v2 Mathematical Physics
Algebraic Geometry
math.MP
Symplectic Geometry
Abstract
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 the 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.
Cite
@article{arxiv.1901.00634,
title = {Quasi-Hamiltonian model spaces},
author = {Kay Paulus and Bart Van Steirteghem},
journal= {arXiv preprint arXiv:1901.00634},
year = {2022}
}
Comments
v1: 28 pages. v2: 23 pages, major changes in exposition, main result unchanged, new coauthor, part 6 of v1 removed