Unitarizablity of premodular categories
Abstract
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 any class of premodular categories with a common Grothendieck semiring. We obtain new results for quantum groups of Lie types F4 and G2, and improve the known results for Lie types B and C.
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