An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group (Paperback, 2022)

    Preface

            Introduction

            Chapter 1.   First Steps

            Chapter 2.  Polynomials, Subspaces, and Subrepresentations

            Chapter 3.  Intertwining Maps, Complete Reducibility, and Invariant Inner Products

            Chapter 5.  Sn Decomposition of Polynomial Spaces for n= 1,2,3.

            Chapter 6.  The Group Algebra

            Chapter 7.  The Irreducible Representations of Sn: Characters

            Chapter 8.  The Irreducible Representations of Sn: Young Symmetrizers

            Chapter 9.  Cosets, Restricted and Induced Representations

            Chapter 10.  Direct Products of Groups, Young Subgroups and Permutation Modules

            Chapter 11.  Specht Modules

            Chapter 12.  Decomposition of Young Permutation Modules

            Chapter 13.  Branching Relations

            Bibliography 

            Index