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

Howe, R. Michael

Couverture souple

ISBN 10 : 3030980243 ISBN 13 : 9783030980245

Editeur : Springer, 2022

Synopsis

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

A propos du livre

À propos de l?auteur

R. Michael Howe spent 20 years in various roles in the music industry and earned a PhD in mathematics at the University of Iowa, becoming a professor at the University of Wisconsin-Eau Claire, where he is now Emeritus Professor. As a mathematics professor he has supervised research and independent study projects of scores of undergraduate students, at least a dozen of whom have gone on to earn a PhD in mathematics. He still enjoys playing music and his other hobbies include hiking, mountaineering, kayaking, biking and skiing.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 3030980243
• ISBN 13: 9783030980245
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 248
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne