OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE

Details OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE

1995-04-07

arxiv.org/abs/hep-th/9504040v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex, no figures

Scientific paper

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

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