The Lie algebra splitg2 with Mathematica using Zorn's matrices
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
We will obtain in this paper a generic expression of any element in athe Lie algebra of the derivations of the split octonions a over an arbitrary field. For this purpose, we will use the Zorn's matrices. We will also compute the multiplication table of this Lie algebra.
Keywords
Cite
@article{arxiv.math/0206028,
title = {The Lie algebra splitg2 with Mathematica using Zorn's matrices},
author = {Pablo Alberca Bjerregaard and Candido Martin Gonzalez},
journal= {arXiv preprint arXiv:math/0206028},
year = {2025}
}
Comments
Mathematica source included