Deformations of the Lie-poisson Sphere of a Compact Semisimple Lie Algebra
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چکیده
A compact semisimple Lie algebra g induces a Poisson structure πS on the unit sphere S(g ) in g. We compute the moduli space of Poisson structures on S(g) around πS. This is the first explicit computation of a Poisson moduli space in dimension greater or equal than three around a degenerate (i.e. not symplectic) Poisson structure.
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تاریخ انتشار 2017