Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory
Operator Algebras
2011-03-02 v3 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0906.4314,
title = {Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory},
author = {David E. Evans and Mathew Pugh},
journal= {arXiv preprint arXiv:0906.4314},
year = {2011}
}
Comments
54 pages, 15 figures, result on page 50 corrected, to appear in Communications in Mathematical Physics