Mazur’s structure theorem
Any normed associative real division algebra is isomorphic to one of the following:
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The real numbers .
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The complex numbers .
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The quaternions .
The next generalization, the octonions, often viewed as the “complexification” of the quaternions, fails to be associative.
Title | Mazur’s structure 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 |