Integral Octonions, Octonion XY-Product, and the Leech Lattice
نویسنده
چکیده
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices in dimensions 4, 8, 16 and 24 (Leech) are developed.
منابع مشابه
Octonions: Invariant Representation of the Leech Lattice
The Leech lattice, Λ24, is represented on the space of octonionic 3vectors. 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. supported in part by alien invaders.
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