• Corpus ID: 119096562

Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square

@article{Evans2009TrialitiesAE,
title={Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square},
author={Jonathan M. Evans},
journal={arXiv: High Energy Physics - Theory},
year={2009}
}
• Jonathan M. Evans
• Published 9 October 2009
• Mathematics
• arXiv: High Energy Physics - Theory
A construction of the magic square, and hence of exceptional Lie algebras, is carried out using trialities rather than division algebras. By way of preparation, a comprehensive discussion of trialities is given, incorporating a number of novel results and proofs. Many of the techniques are closely related to, or derived from, ideas which are commonplace in theoretical physics. The importance of symmetric spaces in the magic square construction is clarified, allowing the Jacobi property to be…
8 Citations

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