nLab
13-sphere

Contents

Contents

Idea

The n-sphere of dimension n=13n = 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):

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

(Atiyah-Berndt 02)

References

Created on February 6, 2021 at 23:58:23. See the history of this page for a list of all contributions to it.