Octonions, Albert vectors and the group $\mathrm{E}_6(F)$
Group Theory
2024-04-16 v3 Representation Theory
Abstract
We present a uniform approach to the construction of the groups of type over arbitrary fields without using Lie theory. This gives a simple description of the group generators and some of the subgroup structure. In the finite case our approach also permits relatively straightforward computation of the group order.
Cite
@article{arxiv.1906.08846,
title = {Octonions, Albert vectors and the group $\mathrm{E}_6(F)$},
author = {John N. Bray and Yegor Stepanov and Robert A. Wilson},
journal= {arXiv preprint arXiv:1906.08846},
year = {2024}
}
Comments
30 pages