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Free unitary groups are (almost) simple (1210.4779v1)

Published 17 Oct 2012 in math.QA, math.CO, and math.RT

Abstract: We show that the quotients of Wang and Van Daele's universal quantum groups by their centers are simple in the sense that they have no normal quantum subgroups, thus providing the first examples of simple compact quantum groups with non-commutative fusion rings.

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