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Mathematics > Operator Algebras

arXiv:1006.2979 (math)
[Submitted on 15 Jun 2010 (v1), last revised 18 May 2011 (this version, v2)]

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

Authors:Sven Raum
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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.
Comments: 12 pages Section 5 completely revised; accepted for publication in the Proceedings of the American Mathematical Society
Subjects: Operator Algebras (math.OA); Quantum Algebra (math.QA)
MSC classes: 46L65
Cite as: arXiv:1006.2979 [math.OA]
  (or arXiv:1006.2979v2 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.1006.2979

Submission history

From: Sven Raum [view email]
[v1] Tue, 15 Jun 2010 13:21:23 UTC (13 KB)
[v2] Wed, 18 May 2011 12:28:17 UTC (16 KB)
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