Algebraic isomorphisms of quantized homogeneous spaces
Résumé
We describe a proof of the following folklore theorem: If X = G/K is the homogeneous space of a simply connected compact semisimple Lie group with Poisson-Lie stabilizers, then the q-deformed algebras of regular functions C[X q ] with 0 < q ≤ 1 are mutually nonisomorphic as * -algebras.
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