The Poisson geometry of SU(1,1)
classification
🧮 math.SG
keywords
grouppoissonadmissibleanalogueconjecturedescriptionelementsestablish
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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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