Liberation of Orthogonal Lie Groups

  title={Liberation of Orthogonal Lie Groups},
  author={Roland Speicher},
We show that under suitable assumptions, we have a one-to-one correspondence between classical groups and free quantum groups, in the compact orthogonal case. We classify the groups under correspondence, with the result that there are exactly 6 of them: On, Sn, Hn, Bn, S ′ n , B n . We investigate the representation theory aspects of the correspondence, with the result that for On, Sn, Hn, Bn, this is compatible with the Bercovici-Pata bijection. Finally, we discuss some more general… CONTINUE READING
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