13 citations · 68 across the 29 of their papers we have counts for
3 papers · 1 filter
Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification
Linzhe Huang, Zhengwei Liu, Sebastien Palcoux +1
In this paper, we investigate quantum Fourier analysis on subfactors and unitary fusion categories. We prove the complete positivity of the comultiplication for subfactors and deri…
Structure constants, Isaacs property and Extended Haagerup fusion categories
Sebastian Burciu, Sebastien Palcoux
This paper presents an abstract Isaacs property that involves the Fourier transform for fusion rings, which may be non-commutative, thus expanding upon the commutative version desc…
Triangular Prism Equations and Categorification
Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren +1
We introduce the triangular prism equations (TPE) for fusion categories, obtained by evaluating triangular prisms in terms of tetrahedra. Using an oriented graphical calculus, we s…