20 citations · 79 across the 10 of their papers we have counts for
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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…