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.

arXiv comment23 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

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Cited by in corpus (2)

• Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory
• Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras