An algebraic extension in Cl(10) with S3 symmetry incorporates the Higgs sector to produce six doublets and Type-II Yukawa couplings without tree-level FCNCs in the symmetric limit.
On generalized Cayley-Dickson algebras.Pacific Journal of Mathe- matics, 20(3):415–422, 1967
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Higgs Sector and Flavour Structure in an Algebraic Three-Generation Model with S3 Family Symmetry
An algebraic extension in Cl(10) with S3 symmetry incorporates the Higgs sector to produce six doublets and Type-II Yukawa couplings without tree-level FCNCs in the symmetric limit.