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

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

2010-06-15

arxiv.org/abs/1006.2979v2

Mathematics

Operator Algebras

12 pages Section 5 completely revised; accepted for publication in the Proceedings of the American Mathematical Society

Scientific paper

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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