CLASSIFICATION RESULTS FOR EASY QUANTUM GROUPS

@inproceedings{Banica2010CLASSIFICATIONRF,
  title={CLASSIFICATION RESULTS FOR EASY QUANTUM GROUPS},
  author={Teodor Banica and Stephen Curran and Roland Speicher},
  year={2010}
}
We study the orthogonal quantum groups satisfying the “easiness” assumption axiomatized in our previous paper, with the construction of some new examples, and with some partial classification results. The conjectural conclusion is that the easy quantum groups consist of the previously known 14 examples, plus of an hypothetical multi-parameter “hyperoctahedral series”, related to the complex reflection groups H n = Zs o Sn. We discuss as well the general structure, and the computation of… CONTINUE READING

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