$\Ughr$ invariant quantization on some homogeneous manifolds

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We consider a class of homogeneous manifolds over a simple Lie group which appears in the problem of classification of homogeneous manifolds with reductive subgroups of maximal rank as stabilizer of a point. We prove that any manifold of this class possesses a Poisson bracket admitting a quantization invariant (equivariant) with respect to the corresponding quantum group.
PhD thesis (1999)

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Quantum Algebra, Symplectic Geometry, 53D55; 53D17

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http://salesiana.dossiersoluciones.com/handle/123456789/65550

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211081
 http://arxiv.org/abs/math/0211081

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arXiv