Integral Octonions, Octonion XY-Product, and the Leech Lattice
High Energy Physics - Theory
2010-11-12 v1 Rings and Algebras
Abstract
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices, , , and (Leech), are developed.
Keywords
Cite
@article{arxiv.1011.2541,
title = {Integral Octonions, Octonion XY-Product, and the Leech Lattice},
author = {Geoffrey Dixon},
journal= {arXiv preprint arXiv:1011.2541},
year = {2010}
}
Comments
Much of this work was presented at an AMS conference at Notre Dame in November 2010