Exceptional Lie Algebras, SU(3) and Jordan Pairs

Details Exceptional Lie Algebras, SU(3) and Jordan Pairs Exceptional Lie Algebras, SU(3) and Jordan Pairs

2011-12-06

arxiv.org/abs/1112.1258v2

Physics

Mathematical Physics

24 pages, 6 figures

Scientific paper

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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