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  5. Sums of squares in certain quaternion and octonion algebras
 
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Sums of squares in certain quaternion and octonion algebras

Alternative Title
Sommes de carrés dans certaines algèbres de quaternions et d'octonions
Author(s)
O'Shea, James  
Uri
http://hdl.handle.net/10197/2869
Date Issued
2011-03
Date Available
2011-03-23T12:42:48Z
Abstract
Formulae for the levels and sublevels of certain quaternion and octonion algebras are established. Corollaries concerning the equality of levels and sublevels of quaternion algebras with those of associated octonion algebras are presented.
Sponsorship
Irish Research Council for Science, Engineering and Technology
European Research Council
Type of Material
Journal Article
Publisher
Elsevier Masson SAS
Journal
Comptes Rendus Mathematique
Volume
349
Issue
5-6
Start Page
239
End Page
242
Copyright (Published Version)
2011 Académie des sciences
Subjects

Quaternion algebras

Octonion algebras

Sums of squares

Level

Sublevel

Cayley-Dickson doubli...

Subject – LCSH
Quaternions
Cayley numbers (Algebra)
DOI
10.1016/j.crma.2011.01.022
Web versions
http://dx.doi.org/10.1016/j.crma.2011.01.022
Language
English
Status of Item
Peer reviewed
ISSN
1631-073X
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-sa/1.0/
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crass.pdf

Size

217.78 KB

Format

Adobe PDF

Checksum (MD5)

dcb0e1d523ba3f1be83b77918c708a68

Owning collection
Mathematics and Statistics Research Collection

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