PreprintCC BY-NC-ND 4.0arXiv
Division Algebras, Triality, and Exceptional Magic
Abstract
We describe in explicit detail the rich relationship between division algebras, split composition algebras, triality, Clifford algebras, spinors, triality Lie algebras, generalized reflections, exceptional magic square Lie algebras, triality eigenspaces, 3-symmetric spaces, Vinberg theta algebras, and Exceptional Unification in particle physics.
Versions
Related
- The standard model, the exceptional Jordan algebra, and triality
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- Simple Torsion-Free Linear Groups from Global Division Algebras
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BibTeX
@misc{lisi2026division,
title = {{Division Algebras, Triality, and Exceptional Magic}},
author = {A. Garrett Lisi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12112},
eprint = {2609.12112},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12112},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Division Algebras, Triality, and Exceptional Magic
AU - A. Garrett Lisi
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.12112
UR - https://arxiv.org/abs/2609.12112
AB - We describe in explicit detail the rich relationship between division algebras, split composition algebras, triality, Clifford algebras, spinors, triality Lie algebras, generalized reflections, exceptional magic square Lie algebras, triality eigenspaces, 3-symmetric spaces, Vinberg theta algebras, and Exceptional Unification in particle physics.
ER -