Matrix Representations of Discrete Groups
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- Research Article
- 10.1016/s0019-3577(05)80016-3
- Jan 1, 2005
- Indagationes Mathematicae
Simple infinite-dimensional quotients of the group C★-algebras ofcertain discrete 6-dimensional nilpotent groups
- Research Article
13
- 10.1088/1126-6708/2003/02/023
- Feb 14, 2003
- Journal of High Energy Physics
We present, in explicit matrix representation and a modernity befitting the community, the classification of the finite discrete subgroups of G_2 and compute the McKay quivers arising therefrom. Of physical interest are the classes of N=1 gauge theories descending from M-theory and of mathematical interest are possible steps toward a systematic study of crepant resolutions to smooth G_2 manifolds as well as generalised McKay Correspondences. This writing is a companion monograph to hep-th/9811183 and hep-th/9905212, wherein the analogues for Calabi-Yau three- and four-folds were considered.