Spectral Measures for $G_2$ II: finite subgroups
Operator Algebras
2020-02-06 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Joint spectral measures associated to the rank two Lie group , including the representation graphs for the irreducible representations of and its maximal torus, nimrep graphs associated to the modular invariants have been studied. In this paper we study the joint spectral measures for the McKay graphs (or representation graphs) of finite subgroups of . Using character theoretic methods we classify all non-conjugate embeddings of each subgroup into the fundamental representation of and present their McKay graphs, some of which are new.
Keywords
Cite
@article{arxiv.1404.1866,
title = {Spectral Measures for $G_2$ II: finite subgroups},
author = {David E. Evans and Mathew Pugh},
journal= {arXiv preprint arXiv:1404.1866},
year = {2020}
}
Comments
33 pages, 20 figures; minor improvements to exposition. Accepted for publication in Reviews in Mathematical Physics