Unitarizablity of premodular categories
Quantum Algebra
2008-04-16 v3
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 and , and improve the known results for Lie types and .
Keywords
Cite
@article{arxiv.0710.1621,
title = {Unitarizablity of premodular categories},
author = {Eric C. Rowell},
journal= {arXiv preprint arXiv:0710.1621},
year = {2008}
}
Comments
Version 2: proof of conjecture provided by referee, now Theorem 3.8 is sharp. To appear in J. Pure Appl. Algebra