Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory

Details Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory

2009-06-23

arxiv.org/abs/0906.4314v3

Commun.Math.Phys.295:363-413,2010

Mathematics

Operator Algebras

54 pages, 15 figures, result on page 50 corrected, to appear in Communications in Mathematical Physics

Scientific paper

10.1007/s00220-009-0902-5

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 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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