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Coxeter, H · 1946

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math.RA 1

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2026 1

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Integral elements of Okubo algebra and the E8-lattice

math.RA · 2026-05-10 · unverdicted · novelty 6.0

Para-octonionic product closes the Coxeter-Dickson E8-order for genuine Z-integral E8, but Okubo forces Q(sqrt(3)) coefficients; after 2-adic scaling a Z[sqrt(3)]-order shadows a 2-primary conductor sublattice of E8, recovered only by saturation or gluing as metric-arithmetic rather than purely by a

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  • Integral elements of Okubo algebra and the E8-lattice math.RA · 2026-05-10 · unverdicted · none · ref 15

    Para-octonionic product closes the Coxeter-Dickson E8-order for genuine Z-integral E8, but Okubo forces Q(sqrt(3)) coefficients; after 2-adic scaling a Z[sqrt(3)]-order shadows a 2-primary conductor sublattice of E8, recovered only by saturation or gluing as metric-arithmetic rather than purely by a