Spectral Measures for $G_2$ (1404.1863v2)

Published 7 Apr 2014 in math.OA, hep-th, math-ph, and math.MP

Abstract: Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the rank two Lie group $G_2$, including the McKay graphs for the irreducible representations of $G_2$ and its maximal torus, and fusion modules associated to all known $G_2$ modular invariants.

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