Division Algebras, Triality, and Exceptional Magic
arXiv:2609.12112 · doi:10.1007/s00006-026-01447-5
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.
50 pages, 9 figures. Published in Advances in Applied Clifford Algebras. Originally submitted to arXiv on April 24, 2025