nLab
sedenion

Contents

Idea

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

Properties

Although every sedenion has a multiplicative inverse, 𝕊\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)