We present an overview of the theory of finite groups, with regard to their
application as flavour symmetries in particle physics. In a general part, we
discuss useful theorems concerning group structure, conjugacy classes,
representations and character tables. In a specialized part, we attempt to give
a fairly comprehensive review of finite subgroups of SO(3) and SU(3), in which
we apply and illustrate the general theory. Moreover, we also provide a concise
description of the symmetric and alternating groups and comment on the
relationship between finite subgroups of U(3) and finite subgroups of SU(3).
Though in this review we give a detailed description of a wide range of finite
groups, the main focus is on the methods which allow the exploration of their
different aspects.
%0 Journal Article
%1 Grimus2011Finite
%A Grimus, Walter
%A Ludl, Patrick O.
%D 2011
%K groups
%T Finite flavour groups of fermions
%U http://arxiv.org/abs/1110.6376
%X We present an overview of the theory of finite groups, with regard to their
application as flavour symmetries in particle physics. In a general part, we
discuss useful theorems concerning group structure, conjugacy classes,
representations and character tables. In a specialized part, we attempt to give
a fairly comprehensive review of finite subgroups of SO(3) and SU(3), in which
we apply and illustrate the general theory. Moreover, we also provide a concise
description of the symmetric and alternating groups and comment on the
relationship between finite subgroups of U(3) and finite subgroups of SU(3).
Though in this review we give a detailed description of a wide range of finite
groups, the main focus is on the methods which allow the exploration of their
different aspects.
@article{Grimus2011Finite,
abstract = {{We present an overview of the theory of finite groups, with regard to their
application as flavour symmetries in particle physics. In a general part, we
discuss useful theorems concerning group structure, conjugacy classes,
representations and character tables. In a specialized part, we attempt to give
a fairly comprehensive review of finite subgroups of SO(3) and SU(3), in which
we apply and illustrate the general theory. Moreover, we also provide a concise
description of the symmetric and alternating groups and comment on the
relationship between finite subgroups of U(3) and finite subgroups of SU(3).
Though in this review we give a detailed description of a wide range of finite
groups, the main focus is on the methods which allow the exploration of their
different aspects.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Grimus, Walter and Ludl, Patrick O.},
biburl = {https://www.bibsonomy.org/bibtex/27c18f015d7bfd639a0bbfafe3d7169dd/cmcneile},
citeulike-article-id = {9970205},
citeulike-linkout-0 = {http://arxiv.org/abs/1110.6376},
citeulike-linkout-1 = {http://arxiv.org/pdf/1110.6376},
day = 28,
eprint = {1110.6376},
interhash = {701f9f9161eff23e9397dcd1ab014d00},
intrahash = {7c18f015d7bfd639a0bbfafe3d7169dd},
keywords = {groups},
month = oct,
posted-at = {2011-10-31 08:31:06},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Finite flavour groups of fermions}},
url = {http://arxiv.org/abs/1110.6376},
year = 2011
}