20 citations · 79 across the 10 of their papers we have counts for
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Classification of Module Categories for
David E. Evans, Mathew Pugh
The main goal of this paper is to classify -module categories for the modular tensor category. This is done by classifying nimrep graphs and cell sy…
Spectral Measures for
David E. Evans, Mathew Pugh
Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the compact connected rank two Lie grou…
Spectral measures associated to rank two Lie groups and finite subgroups of
David E. Evans, Mathew Pugh
Spectral measures for fundamental representations of the rank two Lie groups , and have been studied. Since these groups have rank two, these spectral measures…
Spectral Measures for II: finite subgroups
David E. Evans, Mathew Pugh
Joint spectral measures associated to the rank two Lie group , including the representation graphs for the irreducible representations of and its maximal torus, nimrep g…
Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants
David E. Evans, Mathew Pugh
Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of…
The Nakayama automorphism of the almost Calabi-Yau algebras associated to SU(3) modular invariants
David E. Evans, Mathew Pugh
We determine the Nakayama automorphism of the almost Calabi-Yau algebra A associated to the braided subfactors or nimrep graphs associated to each SU(3) modular invariant. We use t…
Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)
David E. Evans, Mathew Pugh
We complete the computation of spectral measures for SU(3) nimrep graphs arising in subfactor theory, namely the SU(3) ADE graphs associated with SU(3) modular invariants and the M…
Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory
David E. Evans, Mathew Pugh
We determine spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with SU(3) modular invariants and subgroups of SU(3). Our methods a…
A2-Planar Algebras II: Planar Modules
David E. Evans, Mathew Pugh
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 subfa…
Ocneanu Cells and Boltzmann Weights for the SU(3) ADE Graphs
David E. Evans, Mathew Pugh
We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep graphs except proposed by di Francesco and Zuber for the S…
SU(3)-Goodman-de la Harpe-Jones subfactors and the realisation of SU(3) modular invariants
David E. Evans, Mathew Pugh
We complete the realisation by braided subfactors, announced by Ocneanu, of all SU(3)-modular invariant partition functions previously classified by Gannon.
A2-Planar Algebras I
David E. Evans, Mathew Pugh
We give a diagrammatic presentation of the A_2-Temperley-Lieb algebra. Generalizing Jones' notion of a planar algebra, we formulate an A_2-planar algebra motivated by Kuperberg's A…