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arxiv: 1011.2541 · v1 · pith:JJFS2N22new · submitted 2010-11-11 · ✦ hep-th · math.RA

Integral Octonions, Octonion XY-Product, and the Leech Lattice

classification ✦ hep-th math.RA
keywords lambdaintegralleechoctonionoctonionsxy-productariseconnections
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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, $\Lambda_{4}$, $\Lambda_{8}$, $\Lambda_{16}$ and $\Lambda_{24}$ (Leech), are developed.

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