An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group

By R. Michael Howe

Preface

Introduction

Chapter 1. First Steps

Chapter 2. Polynomials, Subspaces, and Subrepresentations

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

Chapter 4. The Structure of the Symmetric Group

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

• Format: Paperback
• Language: English
• ISBN: 3030980243
• ISBN13: 9783030980245
• Release Date: May 2022
• Publisher: Springer
• Length: 229 Pages
• Weight: 1.29 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"