We present a family of Azumaya algebras. These algebras arise from the representation theory of a multiparameter quantum deformation of the coordinate ring of an algebraic group G at roots of 1. The spectra of these algebras are Galois coverings of minimal T-biinvariant Poisson submanifolds of G, for the Poisson structure given by the quantization.
A family of Azumaya algebras arising from quantum groups
COSTANTINI, MAURO;
1996
Abstract
We present a family of Azumaya algebras. These algebras arise from the representation theory of a multiparameter quantum deformation of the coordinate ring of an algebraic group G at roots of 1. The spectra of these algebras are Galois coverings of minimal T-biinvariant Poisson submanifolds of G, for the Poisson structure given by the quantization.
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