English

The Poisson geometry of SU(1,1)

Symplectic Geometry 2015-05-14 v2

Abstract

We study the natural Poisson structure on the Lie group SU(1,1) and related questions. In particular, we give an explicit description of the Ginzburg-Weinstein isomorphism for the sets of admissible elements. We also establish an analogue of Thompson's conjecture for this group.

Keywords

Cite

@article{arxiv.0911.3612,
  title  = {The Poisson geometry of SU(1,1)},
  author = {Philip Foth and McKenzie Lamb},
  journal= {arXiv preprint arXiv:0911.3612},
  year   = {2015}
}

Comments

11 pages, minor corrections