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 ?. / Graduate
| Identifer | oai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/5931 |
| Date | 23 March 2015 |
| Creators | Halverson-Duncan, Brittany |
| Contributors | Putnam, Ian Fraser, Emerson, Heath |
| Source Sets | University of Victoria |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | Available to the World Wide Web, http://creativecommons.org/publicdomain/zero/1.0/ |
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