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Isomorphisms and fusion rules of orthogonal free quantum groups and their free complexifications
Sven Raum
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Source: Crossref
Published: Jan 20, 2012
DOI: 10.1090/s0002-9939-2012-11264-x
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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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