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OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE

1995/04/07 by Geoffrey Dixon, Dixon, Geoffrey
Chemistry · Physics and Astronomy · #History and advancements in chemistry #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9504040

7 pages, latex, no figures

arxiv created 1995/04/07 · arxiv updated 2009/11/30

Abstract

The Leech lattice, Λ24, is represented on the space of octonionic 3-vectors. It is built from two octonionic representations of E8, and is reached via Λ16. It is invariant under the octonion index cycling and doubling maps.

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