13 citations · 68 across the 29 of their papers we have counts for
11 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…
Ore's theorem on subfactor planar algebras
Sebastien Palcoux
This article proves that an irreducible subfactor planar algebra with a distributive biprojection lattice admits a minimal 2-box projection generating the identity biprojection. It…
Euler totient of subfactor planar algebras
Sebastien Palcoux
We extend the Euler's totient function (from arithmetic) to any irreducible subfactor planar algebra, using the Mobius function of its biprojection lattice, as Hall did for the fin…
Ore's theorem on cyclic subfactor planar algebras and beyond
Sebastien Palcoux
Ore proved that a finite group is cyclic if and only if its subgroup lattice is distributive. Now, since every subgroup of a cyclic group is normal, we call a subfactor planar alge…
Ore's theorem for cyclic subfactor planar algebras and applications
Sebastien Palcoux
This paper introduces the cyclic subfactors, generalizing the cyclic groups as the subfactors generalize the groups, and generalizing the natural numbers as the maximal subfactors…
The type III manufactory
Sebastien Palcoux
Using unusual objects in the theory of von Neumann algebra, as the chinese game Go or the Conway game of life (generalized on finitely presented groups), we are able to build, by h…