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arXiv · 1909.00357

Exceptional Periodicity and Magic Star Algebras. I : Foundations

Piero Truini·Alessio Marrani·Michael Rios
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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.

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Piero Truini, Alessio Marrani, Michael Rios. 2019-09-01. Exceptional Periodicity and Magic Star Algebras. I : Foundations. https://arxiv.org/abs/1909.00357

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