Representing Finite Groups

A Semisimple Introduction

  • Ambar N.┬áSengupta

Table of contents

  1. Front Matter
    Pages i-xv
  2. Ambar N. Sengupta
    Pages 1-38
  3. Ambar N. Sengupta
    Pages 39-58
  4. Ambar N. Sengupta
    Pages 59-81
  5. Ambar N. Sengupta
    Pages 83-123
  6. Ambar N. Sengupta
    Pages 125-156
  7. Ambar N. Sengupta
    Pages 157-188
  8. Ambar N. Sengupta
    Pages 189-234
  9. Ambar N. Sengupta
    Pages 235-248
  10. Ambar N. Sengupta
    Pages 249-266
  11. Ambar N. Sengupta
    Pages 267-279
  12. Ambar N. Sengupta
    Pages 281-300
  13. Ambar N. Sengupta
    Pages 301-351
  14. Back Matter
    Pages 353-371

About this book

Introduction

This graduate textbook presents the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. The presentation interweaves insights from specific examples with development of general and powerful tools based on the notion of semisimplicity. The elegant ideas of commutant duality are introduced, along with an introduction to representations of unitary groups. The text progresses systematically and the presentation is friendly and inviting. Central concepts are revisited and explored from multiple viewpoints. Exercises at the end of the chapter help reinforce the material.

Representing Finite Groups: A Semisimple Introduction would serve as a textbook for graduate and some advanced undergraduate courses in mathematics. Prerequisites include acquaintance with elementary group theory and some familiarity with rings and modules. A final chapter presents a self-contained account of notions and results in algebra that are used. Researchers in mathematics and mathematical physics will also find this book useful.

A separate solutions manual is available for instructors.

Keywords

group algebra group theory quantum physics semisimple algebras

Authors and affiliations

  • Ambar N.┬áSengupta
    • 1
  1. 1., Department of MathematicsLouisiana State UniversityBaton RougeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-1231-1
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-1230-4
  • Online ISBN 978-1-4614-1231-1
  • About this book