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SO(8) Colour as possible origin of generations
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A possible connection between the existence of three quark-lepton generations and the triality property of SO(8) group (the equality between 8-dimensional vectors and spinors) is investigated.
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Cited by 3 Pith papers
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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$
The Standard Model gauge group and its charge operators emerge from O⊕H⊕C⊕R by stabilizing top-graded elements and imposing an equal-trace condition.
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Higgs and Yukawa Structure in a Clifford Algebra Model with Three Generations and $S_3$ Family Symmetry
Higgs components realized as right-action operators in Cℓ(10) model with S3 symmetry yield two first-generation Higgs doublets and a Type-II-like Yukawa structure fixed algebraically in the cyclically averaged limit.
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A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra
Representations of lightest Standard Model particles form a Z_2^5-graded superalgebra isomorphic to H_16(C) and generated by division algebras.
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