Mazur’s structure theorem

Any normed associative real division algebra is isomorphicPlanetmathPlanetmathPlanetmath to one of the following:

The next generalizationPlanetmathPlanetmath, the octonions, often viewed as the “complexification” of the quaternions, fails to be associative.

Title Mazur’s structureMathworldPlanetmath theorem
Canonical name MazursStructureTheorem
Date of creation 2013-03-22 14:50:04
Last modified on 2013-03-22 14:50:04
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Theorem
Classification msc 11R52
Related topic TheoremsOnSumsOfSquares