Singly generated planar algebras of small dimension, Part III
Bisch, Dietmar · Jones, Vaughan F. R. · Liu, Zhengwei
Original · EN
The first two authors classified subfactor planar algebra generated by a non-trivial 2-box subject to the condition that the dimension of 3-boxes is at most 12 in Part I; 13 in Part II of this series. They are the group planar algebra for Z₃, the Fuss-Catalan planar algebra; and the group/subgroup planar algebra for Z₂⊂ Z₅ Z₂. In the present paper, we extend the classification to 14 dimensional 3-boxes. They are all BMW. Precisely it contains a depth 3 one from quantum SO(3), and a one-parameter family from quantum Sp(4).
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.