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

Author(s)
W. Grimus, P. O. Ludl
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.

Organisation(s)
Particle Physics
Journal
Journal of Physics A: Mathematical and Theoretical
Volume
47
No. of pages
14
ISSN
1751-8113
DOI
https://doi.org/10.1088/1751-8113/47/7/075202
Publication date
02-2014
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 101001 Algebra
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/on-the-characterization-of-the-su-3subgroups-of-type-c-and-d(39acd236-984d-4259-9285-0335cfae4425).html