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arXiv · 0710.1621

Unitarizablity of premodular categories

Eric C. Rowell
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Abstract

We study the unitarizability of premodular categories constructed from representations of quantum group at roots of unity. We introduce \emph{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 $F_4$ and $G_2$, and improve the known results for Lie types $B$ and $C$.

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Eric C. Rowell. 2007-11-08. Unitarizablity of premodular categories. https://doi.org/10.1016/j.jpaa.2007.11.004

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