The Representation Theory of the Symmetric Groups
| dc.contributor.author | Halverson-Duncan, Brittany | |
| dc.contributor.supervisor | Putnam, Ian Fraser | |
| dc.contributor.supervisor | Emerson, Heath | |
| dc.date.accessioned | 2015-03-23T22:44:38Z | |
| dc.date.available | 2015-03-23T22:44:38Z | |
| dc.date.copyright | 2014 | en_US |
| dc.date.issued | 2015-03-23 | |
| dc.degree.department | Department of Mathematics and Statistics | en_US |
| dc.degree.level | Master of Science M.Sc. | en_US |
| dc.description.abstract | This paper forms an introductory account of the irreducible representations of the permutation group using Young Tableaux as the tool to achieve this. The basics of C*-Algebra theory and Young Tableaux are provided including a brief history of the two subjects. This paper provides a straightforward development of the subject up to the main result which says that restricting the irreducible representations of S_n corresponding to the Young diagrams of shape ? to S_n-1 decomposes as the direct sum of the irreducible representations of S_n-1 corresponding to the Young diagrams formed by removing one box from ?. | en_US |
| dc.description.scholarlevel | Graduate | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/5931 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights.temp | Available to the World Wide Web | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.subject | permutation group | en_US |
| dc.subject | Young Tableaux | en_US |
| dc.title | The Representation Theory of the Symmetric Groups | en_US |
| dc.type | Thesis | en_US |
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