Exceptional Periodicity and Magic Star Algebras. I : Foundations
Representation Theory
2019-10-17 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
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 ) 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.
Keywords
Cite
@article{arxiv.1909.00357,
title = {Exceptional Periodicity and Magic Star Algebras. I : Foundations},
author = {Piero Truini and Alessio Marrani and Michael Rios},
journal= {arXiv preprint arXiv:1909.00357},
year = {2019}
}
Comments
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