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arXiv · 0809.0639

The Flavor Group Delta(6n^2)

J. A. Escobar·Christoph Luhn
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Abstract

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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J. A. Escobar, Christoph Luhn. 2008-09-03. The Flavor Group Delta(6n^2). https://doi.org/10.1063/1.3046563

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