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Isomorphisms and Fusion Rules of Orthogonal Free Quantum Groups and their Complexifications (1006.2979v2)
Published 15 Jun 2010 in math.OA and math.QA
Abstract: 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.