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Exceptional Lie Algebras, SU(3) and Jordan Pairs

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arxiv 1112.1258 v2 pith:N7JZ5CP6 submitted 2011-12-06 math-ph hep-thmath.MP

Piero Truini This is my paper · ORCID
classification math-phhep-thmath.MP
keywords jordanalgebraalgebrasexceptionalpairssameapplicationsautomorphisms
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A simple unifying view of the exceptional Lie algebras is presented. The underlying Jordan pair content and role are exhibited. Each algebra contains three Jordan pairs sharing the same Lie algebra of automorphisms and the same external su(3) symmetry. Eventual physical applications and implications of the theory are outlined.

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  1. Exceptional Periodicity and Magic Star Algebras. I : Foundations

    math.RT 2019-09 conditional novelty 5.0 of 10

    The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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