13 citations · 68 across the 29 of their papers we have counts for
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math.OA2017★ 3 cited
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…
math.OA2017★ 2 cited
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…
math.OA2017★ 8 cited
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…