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| dc.contributor.author | O'Shea, James | |
| dc.date.accessioned | 2010-10-13T16:08:08Z | |
| dc.date.available | 2010-10-13T16:08:08Z | |
| dc.date.copyright | Royal Irish Academy | en |
| dc.date.issued | 2010 | |
| dc.identifier.citation | Mathematical Proceedings of the Royal Irish Academy | en |
| dc.identifier.issn | 1393-7197 (Print) | |
| dc.identifier.issn | 2009-0021 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10197/2518 | |
| dc.description.abstract | Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely many new values for the level of a quaternion algebra is generalised and adapted. Alternative constructions of quaternion and octonion algebras are introduced and justified in the case where n is a multiple of a two power. | en |
| dc.description.sponsorship | Irish Research Council for Science, Engineering and Technology | en |
| dc.description.sponsorship | Other funder | en |
| dc.format.extent | 161820 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Royal Irish Academy | en |
| dc.subject | Quadratic form | en |
| dc.subject | Function field | en |
| dc.subject | Level | en |
| dc.subject | Sublevel | en |
| dc.subject | Quaternion algebra | en |
| dc.subject | Octonion algebra | en |
| dc.subject.lcsh | Forms, Quadratic | en |
| dc.subject.lcsh | Quaternions | en |
| dc.subject.lcsh | Cayley numbers (Algebra) | en |
| dc.title | Bounds on the levels of composition algebras | en |
| dc.type | Journal Article | en |
| dc.internal.availability | Full text available | en |
| dc.internal.webversions | Publisher's version | en |
| dc.internal.webversions | http://dx.doi.org/10.3318/PRIA.2010.110.1.21 | en |
| dc.status | Peer reviewed | en |
| dc.identifier.volume | 110 | en |
| dc.identifier.startpage | 21 | en |
| dc.identifier.endpage | 30 | en |
| dc.identifier.doi | 10.3318/PRIA.2010.110.1.21 | |
| dc.neeo.contributor | O'Shea|James|aut| | en |
| dc.description.othersponsorship | European RTN network "Algebraic K-Theory, Linear Algebraic Groups and Related Structures" | en |
| dc.description.admin | ke SB. 11/10/2010 | en |
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