Unitarizablity of premodular categories Institutional Repository Document uri icon

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 $C$.

author list (cited authors)

  • Rowell, E. C.

complete list of authors

  • Rowell, Eric C

publication date

  • October 2007