OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE
Abstract
Description
The Leech lattice, $Λ_{24}$, is represented on the space of octonionic 3-vectors. It is built from two octonionic representations of $E_{8}$, and is reached via $Λ_{16}$. It is invariant under the octonion index cycling and doubling maps.
7 pages, latex, no figures
7 pages, latex, no figures