OCTONIONS: E₈ LATTICE TO Λ₁₆

1995/01/03 by Dixon, Geoffrey
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/9501007

Abstract

I present here another example of a lattice fibration, a discrete version of the highest dimensional Hopf fibration: S⁷\longrightarrow S¹⁵ \longrightarrow S⁸.

Related

• Octonion X-Product and E8 Lattices
• OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE
• OCTONIONS: INVARIANT LEECH LATTICE EXPOSED
• A Very Intuitive Geometric Picture of the 24-cell, E₈ and Λ₁₆ Lattices Given by Using the Hopf Maps
• Integral Octonions, Octonion XY-Product, and the Leech Lattice