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

References in corpus (3)

• Cyclotomic integers, fusion categories, and subfactors
• Spectral measures of small index principal graphs
• Exceptional quantum subgroups for the rank two Lie algebras B2 and G2

Cited by in corpus (1)

• Generalized Orbifold Construction for Conformal Nets