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arXiv · hep-th/9504040

OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE

Geoffrey Dixon
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Abstract

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.

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Geoffrey Dixon. 1995-04-07. OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE. https://arxiv.org/abs/hep-th/9504040

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