Exceptional Periodicity and Magic Star Algebras. I : Foundations

Abstract

We introduce and start investigating the properties of countably infinite, periodic chains of finite dimensional generalizations of the exceptional Lie algebras: each exceptional Lie algebra (but ${\mathbf{g}}_2$) is part of an infinite family of finite dimensional algebras, which we name "Magic Star" algebras. These algebras have remarkable similarities with many characterizing features of the exceptional Lie algebras.

23 pages, 1 figure, 5 tables. v2 : small changes and additions, especially in the Abstract, Introduction and Conclusions. References added, typos fixed. arXiv admin note: text overlap with arXiv:1711.07881

References in corpus (5)

• An Exceptionally Simple Theory of Everything
• On the Black-Hole/Qubit Correspondence
• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Exceptional Groups and Physics
• Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras

Cited by in corpus (1)

• Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras