A Survey of the Classification of Division Algebras
| dc.contributor.author | Ashburner, Michelle Roshan Marie | |
| dc.date.accessioned | 2008-09-29T14:23:29Z | |
| dc.date.available | 2008-09-29T14:23:29Z | |
| dc.date.issued | 2008-09-29T14:23:29Z | |
| dc.date.submitted | 2008 | |
| dc.description.abstract | For a given field F we seek all division algebras over F up to isomorphism. This question was first investigated for division algebras of finite dimension over F by Richard Brauer. We discuss the construction of the Brauer group and some examples. Crossed products and PI algebras are then introduced with a focus on Amitsur's non-crossed product algebra. Finally, we look at some modern results of Bell on the Gelfand-Kirillov dimension of finitely generated algebras over F and the classification of their division subalgebras. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/4072 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.subject | Division Algebra | en |
| dc.subject | Central Simple Algebra | en |
| dc.subject | Crossed Product | en |
| dc.subject | PI Algebra | en |
| dc.subject | Growth | en |
| dc.subject.program | Pure Mathematics | en |
| dc.title | A Survey of the Classification of Division Algebras | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |