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· 2002

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2026 1

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Integral Shell Polytopes of Composition Algebras

math.CO · 2026-05-10 · unverdicted · novelty 7.0

The Okubo algebra's integral shells form a two-adic hierarchy of polytopes that decompose into W(B8) orbits on a rescaled cubic lattice, recovering the E8 Gosset polytope by maximal-isotropic gluing along (Z/2)^4.

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  • Integral Shell Polytopes of Composition Algebras math.CO · 2026-05-10 · unverdicted · none · ref 1

    The Okubo algebra's integral shells form a two-adic hierarchy of polytopes that decompose into W(B8) orbits on a rescaled cubic lattice, recovering the E8 Gosset polytope by maximal-isotropic gluing along (Z/2)^4.