Halverson-Duncan, Brittany2015-03-232015-03-2320142015-03-23http://hdl.handle.net/1828/5931This 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 ?.enpermutation groupYoung TableauxThesisAvailable to the World Wide Web