The Representation Theory of the Symmetric Groups

Date

2015-03-23

Authors

Halverson-Duncan, Brittany

Journal Title

Journal ISSN

Volume Title

Publisher

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 ?.

Description

Keywords

permutation group, Young Tableaux

Citation