Spectral Measures for $G_2$

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.

36 pages, 40 figures; correction to Sections 5.4 and 5.5, minor improvements to exposition

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Cited by in corpus (2)

• Generalized Orbifold Construction for Conformal Nets
• Spectral measures associated to rank two Lie groups and finite subgroups of $GL(2,\mathbb{Z})$