The Octonions
环与代数
2011-09-28 v4 高能物理 - 理论
历史与综述
量子代数
表示论
摘要
The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We also touch upon their applications in quantum logic, special relativity and supersymmetry.
引用
@article{arxiv.math/0105155,
title = {The Octonions},
author = {John C. Baez},
journal= {arXiv preprint arXiv:math/0105155},
year = {2011}
}
备注
56 pages LaTeX, 11 Postscript Figures, some small corrections