A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.
Neutrino mass and mixing in the 3-3-1 model and s 3 flavor symmetry with minimal higgs content.Journal of Experimental and Theoretical Physics, 118(6):869–890, 2014
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Electroweak Structure and Three Fermion Generations in Clifford Algebra with S3 Family Symmetry
A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.