The Flavor Group Delta(6n**2)

Sep, 2008
20 pages
Published in:
  • J.Math.Phys. 50 (2009) 013524
e-Print:

Citations per year

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Abstract: (arXiv)
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.
  • 12.10.-g
  • 11.30.Hv
  • 12.39.-x
  • 14.60.Lm
  • Clebsch-Gordan coefficients
  • flavour model
  • neutrino oscillations
  • SU(3) theory
  • unified gauge models
  • flavor