Representations of lightest Standard Model particles form a Z_2^5-graded superalgebra isomorphic to H_16(C) and generated by division algebras.
SO(8) Colour as possible origin of generations
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abstract
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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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.