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Science/Engineering The Octonions

Posted on 2010-04-13




Name:Science/Engineering The Octonions
ASIN/ISBN:1568811349
Language:English
File size:1.55 Mb
Publisher: University of California
ISBN: : N\A
Publish Date: edition 2001
File Type: PDF
Pages: 56 pages
File Size: 1,55 mb
   Science/Engineering The Octonions

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The Octonions

The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We also touch upon their applications in quantum logic, special relativity and supersymmetry.

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The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to ...

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