Momentum polytopes of rank one for multiplicity free quasi-Hamiltonian manifolds

Abstract

We classify all momentum polytopes of rank one for multiplicity free quasi-Hamiltonian $K$-manifolds for simple and simply connected Lie groups $K$ by using the methods developed in a recent paper by F. Knop. This leads to lots of new concrete examples of multiplicity free quasi-Hamiltonian manifolds or equivalently, Hamiltonian loop group actions.

29 pages. Part of my doctoral project; v2: Minor changes

References in corpus (4)

• Classification of smooth affine spherical varieties
• Multiplicity free quasi-Hamiltonian manifolds
• Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
• A new class of examples of group-valued moment maps