Pure and Applied Mathematics Quarterly

Volume 20 (2024)

Number 1

Special Issue dedicated to Corrado De Concini

Guest Editors: Alberto De Sole, Nicoletta Cantarini, and Andrea Maffei

Classification of multiplicity free quasi-Hamiltonian manifolds

Pages: 471 – 523

DOI: https://dx.doi.org/10.4310/PAMQ.2024.v20.n1.a10

Author

Friedrich Knop (Department Mathematik, FAU Erlangen-Nürnberg, Erlangen, Germany)

Abstract

A quasi-Hamiltonian manifold is called multiplicity free if all of its symplectic reductions are $0$-dimensional. In this paper, we classify compact, multiplicity free, twisted quasi-Hamiltonian manifolds for simply connected, compact Lie groups. Thereby, we recover old and find new examples of these structures.

Keywords

multiplicity free, quasi-Hamiltonian manifolds

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Received 8 June 2022

Accepted 26 June 2023

Published 26 March 2024