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Spectral Measures for G 2

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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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  1. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, Wales, UK

    David E. Evans & Mathew Pugh

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  1. David E. Evans
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  2. Mathew Pugh
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Correspondence to Mathew Pugh.

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Communicated by Y. Kawahigashi

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Evans, D.E., Pugh, M. Spectral Measures for G 2 . Commun. Math. Phys. 337, 1161–1197 (2015). https://doi.org/10.1007/s00220-015-2293-0

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