English

A momentum map for the Heisenberg group

Symplectic Geometry 2024-02-13 v2

Abstract

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 map becomes a value of the modulus of a coadjoint orbit. We give a representation theoretic description of this modulus.

Keywords

Cite

@article{arxiv.2308.01866,
  title  = {A momentum map for the Heisenberg group},
  author = {Richard Cushman},
  journal= {arXiv preprint arXiv:2308.01866},
  year   = {2024}
}