English

OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE

High Energy Physics - Theory 2007-05-23 v1

Abstract

The Leech lattice, Λ24\Lambda_{24}, is represented on the space of octonionic 3-vectors. It is built from two octonionic representations of E8E_{8}, and is reached via Λ16\Lambda_{16}. It is invariant under the octonion index cycling and doubling maps.

Keywords

Cite

@article{arxiv.hep-th/9504040,
  title  = {OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE},
  author = {Geoffrey Dixon},
  journal= {arXiv preprint arXiv:hep-th/9504040},
  year   = {2007}
}

Comments

7 pages, latex, no figures