Isomorphisms and fusion rules of orthogonal free quantum groups and their free complexifications
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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.References
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Additional Information
- Sven Raum
- Affiliation: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
- Email: Sven.Raum@wis.kuleuven.be
- Received by editor(s): October 22, 2010
- Received by editor(s) in revised form: March 28, 2011
- Published electronically: January 20, 2012
- Additional Notes: This research was partially supported by the Marie Curie Research Training Network Non-Commutative Geometry MRTN-CT-2006-031962 and by Katholieke Universiteit Leuven BOF research grant OT/08/032
- Communicated by: Marius Junge
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3207-3218
- MSC (2010): Primary 46L54
- DOI: https://doi.org/10.1090/S0002-9939-2012-11264-X
- MathSciNet review: 2917093