Finite flavour groups of fermions

Details Finite flavour groups of fermions Finite flavour groups of fermions

2011-10-28

arxiv.org/abs/1110.6376v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

89 pages, 6 figures, some references added, rearrangement of part of the material, section on SU(3) subgroups substantially ex

Scientific paper

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.

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