Titel
Comments on the classification of the finite subgroups of SU(3)
Abstract
Many finite subgroups of SU(3) are commonly used in particle physics. The classification of the finite subgroups of SU(3) began with the work of H.F. Blichfeldt at the beginning of the 20th century. In Blichfeldt's work the two series (C) and (D) of finite subgroups of SU(3) are defined. While the group series Delta(3n^2) and Delta(6n^2) (which are subseries of (C) and (D), respectively) have been intensively studied, there is not much knowledge about the group series (C) and (D). In this work we will show that (C) and (D) have the structures (C) \cong (Z_m x Z_m')\rtimes Z_3 and (D) \cong ((Z_n x Z_n')\rtimes Z_3)\rtimes Z_2, respectively. Furthermore we will show that, while the (C)-groups can be interpreted as irreducible representations of Delta(3n^2), the (D)-groups can in general not be interpreted as irreducible representations of Delta(6n^2).
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:243670
Erschienen in
Titel
arXiv.org
Band
1101
Seitenanfang
2308v2-1
Seitenende
2308v2-16
Erscheinungsdatum
01.11.2011
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