Abelian instances of nonabelian symplectic reduction

A. Bravo-Doddoli, L. C. García-Naranjo, E. Rigato

Let $\mathbb{G}$ be a Lie group with a normal abelian subgroup $\mathbb{A}$, and let $(M,\omega )$ be a symplectic manifold endowed with a Hamiltonian $\mathbb{G}$-action. We investigate…