Octonion X-Product and E8 Lattices

1994/11/09 by Geoffrey Dixon, Dixon, Geoffrey
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Rings, Modules, and Algebras #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9411063

8 pages, latex, no figures

arxiv created 1994/11/09 · arxiv updated 2009/11/30

Abstract

In this episode, it is shown how the octonion X-product is related to E8 lattices, integral domains, sphere fibrations, and other neat stuff.

Related

• OCTONIONS: E₈ LATTICE TO Λ₁₆
• Integral Octonions, Octonion XY-Product, and the Leech Lattice
• Octonion X-product orbits
• OCTONION XY-PRODUCT
• Octonion multiplication and Heawood's map