nLab sedenion

Context

Algebra

higher algebra

universal algebra

Contents

Idea

The sedenions are the non-associative algebra $\mathbb{S}$ over the real numbers obtained by applying the Cayley–Dickson construction to the octonions.

Properties

Although every sedenion has a multiplicative inverse, $\mathbb{S}$ is not a division algebra (which is possible since it is not associative).

References

Wikipedia, Sedenion

Revised on September 5, 2016 06:15:52 by Urs Schreiber (195.37.209.183)