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The Flavor Group Delta(6n^2) · Around

2008

The Flavor Group Delta(6n^2)

Escobar, J. A., Luhn, Christoph

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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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