Mathematics – Quantum Algebra
Scientific paper
2002-11-05
Mathematics
Quantum Algebra
PhD thesis (1999)
Scientific paper
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.
Ostapenko Vadim
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