Twisted function algebras on a compact quantum group and their representations

@article{Levendorskii1990TwistedFA,
  title={Twisted function algebras on a compact quantum group and their representations},
  author={Sergei Levendorskii},
  journal={Functional Analysis and Its Applications},
  year={1990},
  volume={24},
  pages={330-332}
}
In this paper we describe the symplectic leaves of the group K(r u) and the irreducible *-representations of the algebra C[K(ru)]h; analogous results for the case u = 0 were obtained earlier in [2-4] and [3], respectively. It is shown that the nonzero-dimensional symplectic leaves of the group K(r u) are obtained from the symplectic leaves of the group K(r0) by taking the product with certain subgroups T; of the maximal torus T c K, which depend on the leaf (in the generic case, T' = T if r is… CONTINUE READING