Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra
نویسنده
چکیده
We study relations between the two-parameter Uq(sl(n))-covariant deformation quantization on sl∗(n) and the reflection equation algebra. The latter is described by a quantum permutation on End(C) given explicitly. The reflection equation algebra is used for constructing the one-parameter quantization on coadjoint orbits, including symmetric, certain bisymmetric and nilpotent ones. Our approach is based on embedding the quantized function algebras on orbits into the algebra of functions on the quantum group SLq(n) by means of reflection equation algebra characters.
منابع مشابه
Uq(sl(n))-invariant quantization of symmetric coadjoint orbits via reflection equation algebra
We study relations between the two-parameter Uq(sl(n))-invariant deformation quantization on sl∗(n) and the reflection equation algebra. The latter is described by a quantum permutation on End(C) given explicitly. The reflection equation algebra is used for constructing the oneparameter quantization on coadjoint orbits, including symmetric and certain bisymmetric and nilpotent ones. Our approac...
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