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Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory

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Abstract

We determine spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with SU(3) modular invariants. Our methods also give an alternative approach to deriving the results of Banica and Bisch for ADE graphs and subgroups of SU(2) and explain the connection between their results for affine ADE graphs and the Kostant polynomials. We also look at the Hilbert generating series of associated pre-projective algebras.

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  1. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, Wales, United Kingdom

    David E. Evans & Mathew Pugh

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  1. David E. Evans
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  2. Mathew Pugh
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Correspondence to Mathew Pugh.

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Communicated by Y. Kawahigashi

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Evans, D.E., Pugh, M. Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory. Commun. Math. Phys. 295, 363–413 (2010). https://doi.org/10.1007/s00220-009-0902-5

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