Sums of squares in certain quaternion and octonion algebras

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Title: Sums of squares in certain quaternion and octonion algebras
Authors: O'Shea, James
Permanent link: http://hdl.handle.net/10197/2869
Date: Mar-2011
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.
Funding Details: Irish Research Council for Science, Engineering and Technology
European Research Council
Type of material: Journal Article
Publisher: Elsevier Masson SAS
Copyright (published version): 2011 Académie des sciences
Keywords: Quaternion algebras;Octonion algebras;Sums of squares;Level;Sublevel;Cayley-Dickson doubling process
Subject LCSH: Quaternions
Cayley numbers (Algebra)
DOI: 10.1016/j.crma.2011.01.022
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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