Quantized Flag Manifolds and Irreducible * -representations

  title={Quantized Flag Manifolds and Irreducible * -representations},
  • Published 1999
We study irreducible ∗-representations of a certain quantization of the algebra of polynomial functions on a generalized flag manifold regarded as a real manifold. All irreducible ∗-representations are classified for a subclass of flag manifolds containing in particular the irreducible compact Hermitian symmetric spaces. For this subclass it is shown that the irreducible ∗-representations are parametrized by the symplectic leaves of the underlying Poisson bracket. We also discuss the relation… CONTINUE READING

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