no code implementations • 2 Feb 2021 • Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren
We prove that a complex categorification (if any) of an interpolated fusion ring R_q (with q non prime-power) cannot be braided, and so its Drinfeld center must be simple.
Quantum Algebra Category Theory Group Theory Rings and Algebras Representation Theory 46L37, 18M20 (Primary) 20C33, 20D06 (Secondary)
no code implementations • 20 Oct 2020 • Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren
This paper classifies the Grothendieck rings of complex fusion categories of multiplicity one up to rank six.
Category Theory Quantum Algebra 18M20
no code implementations • 2 Jun 2016 • Corey Jones, Zhengwei Liu, Yunxiang Ren
Bisch and Jones suggested the skein theoretic classification of planar algebras and investigated the ones generated by 2-boxes with the second author.
Operator Algebras Quantum Algebra
