OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE
classification
✦ hep-th
keywords
invariantlambdalatticeleechoctonionicbuiltcyclingdoubling
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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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