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arXiv · 1909.07047

The octonionic projective plane

Malte Lackmann
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Abstract

This small note, without claim of originality, constructs the projective plane over the octonionic numbers and recalls how this can be used to rule out the existence of higher-dimensional real division algebras, using Adams' solution of the Hopf invariant $1$ problem.

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Malte Lackmann. 2019-09-16. The octonionic projective plane. https://arxiv.org/abs/1909.07047

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