The special linear group for nonassociative rings
Rings and Algebras
2019-10-02 v2
Abstract
We extend to arbitrary rings a definition of the octonion special linear group due to Baez. At the infinitesimal level we get a Lie ring, which we describe over some large classes of rings, including all associative rings and all algebras over a field. As a corollary we compute all the groups Baez defined.
Cite
@article{arxiv.1807.05227,
title = {The special linear group for nonassociative rings},
author = {Harry Petyt},
journal= {arXiv preprint arXiv:1807.05227},
year = {2019}
}
Comments
v2: Improved exposition, incorporating referee comments; 7 pages