English

On the characterization of the SU(3)-subgroups of type C and D

Mathematical Physics 2014-08-11 v4 High Energy Physics - Phenomenology math.MP

Abstract

We investigate the two classes of finite subgroups of SU(3) that are called type C and D in the book of Miller, Blichfeldt and Dickson. We present two theorems which fully determine the form of the generators in a suitable basis. After exploring further properties of these groups, we are able to construct a complete list of infinite series in which these groups are arranged. For type C there are infinitely many series whereas for type D there are only two. Explicit examples of these series are presented which illustrate the general results.

Keywords

Cite

@article{arxiv.1310.3746,
  title  = {On the characterization of the SU(3)-subgroups of type C and D},
  author = {Walter Grimus and Patrick Otto Ludl},
  journal= {arXiv preprint arXiv:1310.3746},
  year   = {2014}
}

Comments

17 pages, no figures; minor corrections; version matches publication in J. Phys. A