The Flavor Group Delta(6n^2)

Details The Flavor Group Delta(6n^2) The Flavor Group Delta(6n^2)

2008-09-03

arxiv.org/abs/0809.0639v1

J.Math.Phys.50:013524,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1063/1.3046563

Many non-Abelian finite subgroups of SU (3) have been used to explain the flavor structure of the Standard Model. In order to systematize and classify successful models, a detailed knowledge of their mathematical structure is necessary. In this paper we shall therefore look closely at the series of finite non-Abelian groups known as Delta(6n^2), its smallest members being S3 (n = 1) and S4 (n = 2). For arbitrary n, we determine the conjugacy classes, the irreducible representations, the Kronecker products as well as the Clebsch-Gordan coefficients.

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