Unitarizability of premodular categories
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We study the unitarizability of premodular categories constructed from representations of quantum group at roots of unity. We introduce Grothendieck unitarizability as a natural generalization of unitarizability to classes of premodular categories with a common Grothendieck semiring. We obtain new results for quantum groups of Lie types F 4 and G 2 , and improve the previously obtained results for Lie types B and C. 2007 Elsevier Ltd. All rights reserved.