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The Flavor Group Delta(3n^2)

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arxiv hep-th/0701188 v3 pith:G3HLUJYX submitted 2007-01-19 hep-th hep-ph

classification hep-thhep-ph
keywords deltaflavormathematicalstructureanglesbuildcharacterclasses
verification ladder T0 review T1 audit T2 compute T3 formal
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The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the Standard Model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Delta(3n^2). Using simple mathematical techniques, we derive its conjugacy classes, character table, build its irreducible representations, their Kronecker products, and its invariants.

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Cited by 1 Pith paper

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  1. Systematic analysis of 3HDM symmetries

    hep-ph 2025-12 conditional novelty 6.0 of 10

    A systematic catalogue of realisable Higgs-family, general-CP, and GOOFy/T-GOOFy symmetries in three-Higgs-doublet models, with new invariant potentials and a corrected U(1)◦V4 group structure.

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