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.
| Original language | English |
|---|---|
| Article number | 075202 |
| Number of pages | 14 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 47 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 21 Feb 2014 |
Funding
This work is supported by the Austrian Science Fund (FWF), project no P 24161-N16.
Austrian Fields of Science 2012
- 103036 Theoretical physics
- 101001 Algebra
Keywords
- finite flavour groups
- classification of groups
- subgroups of SU(3)
- FINITE SUBGROUPS
- SYMMETRIES
- SU(3)
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