A2-Planar Algebras II: Planar Modules

Details A2-Planar Algebras II: Planar Modules A2-Planar Algebras II: Planar Modules

2009-06-23

arxiv.org/abs/0906.4311v2

Mathematics

Operator Algebras

33 pages, 19 figures; revised definition of A_2-planar modules, improvements to exposition and introduction

Scientific paper

Generalizing Jones's notion of a planar algebra, we have previously introduced an A_2-planar algebra capturing the structure contained in the double complex pertaining to the subfactor for a finite SU(3) ADE graph with a flat cell system. We now introduce the notion of modules over an A_2-planar algebra, and describe certain irreducible Hilbert A_2-TL-modules. We construct an A_2-graph planar algebra associated to each pair (G,W) given by an SU(3) ADE graph G and a cell system W on G. A partial modular decomposition of these A_2-graph planar algebras is achieved.

Affiliated with

Also associated with

No associations

Rating

A2-Planar Algebras II: Planar Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A2-Planar Algebras II: Planar Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A2-Planar Algebras II: Planar Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-708593