17 citations · 38 across the 25 of their papers we have counts for
32 papers
A momentum map for the Heisenberg group
Richard Cushman
These notes treat a momentum map associated to the Heisenberg group. We classify the coadjoint orbits of the Heisenberg group and show that the cocycle associated to the momentum m…
Classification of the coadjoint orbits of the generalized Galile group
Richard Cushman
Our goal is to find a representative of each orbit of the coadjoint action of the generalized Galile group on the dual of its Lie algebra. Our line of argument follows that of Cush…
The momentum map of the affine real symplectic group
Richard Cushman
In this paper we explain how the cocycle of the momentum map of the action of the affine symplectic group on gives rise to a coadjoint orbit of the odd real sympl…
Surjective submersion of subcartesian spaces
Richard Cushman
We define the notion of a submersion of subcartesian differential spaces and prove some of its properties, which are analogous to those of a submersion in the category of smooth ma…
Coadjoint orbits of the odd real symplectic group
Richard Cushman
We give a representative of every coadjoint orbit of the odd symplectic group. Our argument follows that used for the Poincarè group but the details differ.
Geometric scattering monodromy
Richard Cushman
In this paper we give geometric conditions so that the integral mapping of a Liouville integrable Hamiltonian system with a focus-focus equilibrium point has scattering monodromy.…