A(2)-planar algebras II: Planar modules

作者：Evans David E; Pugh Mathew^*

来源：Journal of Functional Analysis, 2011, 261(7): 1923-1954.

DOI：10.1016/j.jfa.2011.05.023

• Subfactors
• Planar algebras
• Hilbert planar modules
• SU(3)

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.

• 出版日期2011-10-1