%0 Journal Article %T The Poisson geometry of SU(1,1) %A Philip Foth %A McKenzie Lamb %J Mathematics %D 2009 %I arXiv %R 10.1063/1.3461878 %X 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. %U http://arxiv.org/abs/0911.3612v2