Article ID Journal Published Year Pages File Type
4587121 Journal of Algebra 2009 5 Pages PDF
Abstract

We give a new, elementary, description of the Leech lattice in terms of octonions, thereby providing the first real explanation of the fact that the number of minimal vectors, 196560, can be expressed in the form 3×240×(1+16+16×16). We also give an easy proof that it is an even self-dual lattice.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory