The Poisson geometry of SU(1,1)

Details The Poisson geometry of SU(1,1) The Poisson geometry of SU(1,1)

2009-11-18

arxiv.org/abs/0911.3612v2

Mathematics

Symplectic Geometry

11 pages, minor corrections

Scientific paper

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.

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