Evans, David E. and Pugh, Mathew J.  ORCID: https://orcid.org/0000-0001-9045-3713
2011.
A(2)-planar algebras II: Planar modules.
Journal of Functional Analysis
261
(7)
, pp. 1923-1954.
10.1016/j.jfa.2011.05.023
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Abstract
Generalizing Jones’s notion of a planar algebra, we have previously introduced an A2-planar algebra capturing the structure contained in the double complex per- taining to the subfactor for a finite SU(3) ADE graph with a flat cell system. We now introduce the notion of modules over an A2-planar algebra, and describe cer- tain irreducible Hilbert A2-TL-modules. We construct an A2-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 A2-graph planar algebras is achieved.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Uncontrolled Keywords: | Subfactors; Planar algebras; Hilbert planar modules; SU(3) |
| Publisher: | Elsevier |
| ISSN: | 0022-1236 |
| Last Modified: | 14 May 2023 13:51 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/11932 |
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