Sums of squares in certain quaternion and octonion algebras

DC FieldValueLanguage
dc.contributor.authorO'Shea, James-
dc.date.accessioned2011-03-23T12:42:48Z-
dc.date.available2011-03-23T12:42:48Z-
dc.date.copyright2011 Académie des sciencesen
dc.date.issued2011-03-
dc.identifier.citationComptes Rendus Mathematiqueen
dc.identifier.issn1631-073X-
dc.identifier.urihttp://hdl.handle.net/10197/2869-
dc.description.abstractFormulae 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.en
dc.description.sponsorshipIrish Research Council for Science, Engineering and Technologyen
dc.description.sponsorshipEuropean Research Councilen
dc.format.extent223011 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherElsevier Masson SASen
dc.rightsAll rights reserved.en
dc.subjectQuaternion algebrasen
dc.subjectOctonion algebrasen
dc.subjectSums of squaresen
dc.subjectLevelen
dc.subjectSublevelen
dc.subjectCayley-Dickson doubling processen
dc.subject.lcshQuaternionsen
dc.subject.lcshCayley numbers (Algebra)en
dc.titleSums of squares in certain quaternion and octonion algebrasen
dc.title.alternativeSommes de carrés dans certaines algèbres de quaternions et d'octonionsen
dc.typeJournal Articleen
dc.internal.availabilityFull text availableen
dc.internal.webversionshttp://dx.doi.org/10.1016/j.crma.2011.01.022-
dc.statusPeer revieweden
dc.identifier.volume349en
dc.identifier.issue5-6en
dc.identifier.startpage239en
dc.identifier.endpage242en
dc.identifier.doi10.1016/j.crma.2011.01.022-
dc.neeo.contributorO'Shea|James|aut|-
item.grantfulltextopen-
item.fulltextWith Fulltext-
Appears in Collections:Mathematics and Statistics Research Collection
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