4 citations · 8 across the 2 of their papers we have counts for
4 papers
Lifting shadings on symmetrically self-dual subfactor planar algebras
Zhengwei Liu, Scott Morrison, David Penneys
In this note, we discuss the notion of symmetric self-duality of shaded planar algebras, which allows us to lift shadings on subfactor planar algebras to obtain Z/2Z-graded unitary…
Q-systems and compact W*-algebra objects
Corey Jones, David Penneys
We show that given a rigid C*-tensor category, there is an equivalence of categories between normalized irreducible Q-systems, also known as connected unitary Frobenius algebra obj…
The generator conjecture for subfactor planar algebras
Zhengwei Liu, David Penneys
We state a conjecture for the formulas of the depth 4 low-weight rotational eigenvectors and their corresponding eigenvalues for the subfactor planar algebras. We prove the c…
Principal graph stability and the jellyfish algorithm
Stephen Bigelow, David Penneys
We show that if the principal graph of a subfactor planar algebra of modulus δ>2 is stable for two depths, then it must end in A_{finite} tails. This result is analogous to Popa's…