A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.
Z 3 2-grading of the Lie algebraG 2 and related color algebras,
2 Pith papers cite this work. Polarity classification is still indexing.
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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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Graded Casimir elements and central extensions of color Lie algebras
A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.
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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.