Isomorphisms and Fusion Rules of Orthogonal Free Quantum Groups and their Complexifications

@article{Raum2010IsomorphismsAF,
  title={Isomorphisms and Fusion Rules of Orthogonal Free Quantum Groups and their Complexifications},
  author={Sven Raum},
  journal={arXiv: Operator Algebras},
  year={2010}
}
  • Sven Raum
  • Published 2010
  • Mathematics
  • arXiv: Operator Algebras
  • We show that all orthogonal free quantum groups are isomorphic to variants of the free orthogonal Wang algebra, the hyperoctahedral quantum group or the quantum permutation group. We also obtain a description of their free complexification. In particular we complete the calculation of fusion rules of all orthogonal free quantum groups and their free complexifications. 
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    3
    Centers, cocenters and simple quantum groups
    6
    Fusion (semi)rings arising from quantum groups
    17
    Free Quantum Groups and Related Topics
    2

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