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Isomorphisms and fusion rules of orthogonal free quantum groups and their free complexifications
Author:
Sven Raum
Journal:
Proc. Amer. Math. Soc. 140 (2012), 3207-3218
MSC (2010):
Primary 46L54
Posted:
January 20, 2012
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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.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11264-X
PII:
S 0002-9939(2012)11264-X
Keywords:
Quantum groups,
fusion rules.
Received by editor(s):
October 22, 2010
Received by editor(s) in revised form:
March 28, 2011
Posted:
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
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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