nLab 13-sphere

Contents

Context

Spheres

n-sphere

low dimensional n-spheres

Contents

Idea

The n-sphere of dimension $n = 13$.

Properties

AKM-Theorem

In higher-dimensional analogy to the AKM-theorem we have:

Proposition

The 13-sphere is the quotient space of the (right-)octonionic projective plane by the left multiplication action by Sp(1):

$\mathbb{O}P^2 / \mathrm{Sp}(1) \simeq S^{13}$

References

Created on February 7, 2021 at 04:58:23. See the history of this page for a list of all contributions to it.