Representing Finite Groups

A Semisimple Introduction

Nonfiction, Science & Nature, Mathematics, Algebra, Science, Physics, Quantum Theory
Cover of the book Representing Finite Groups by Ambar N. Sengupta, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ambar N. Sengupta ISBN: 9781461412311
Publisher: Springer New York Publication: December 9, 2011
Imprint: Springer Language: English
Author: Ambar N. Sengupta
ISBN: 9781461412311
Publisher: Springer New York
Publication: December 9, 2011
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Physics of Semiconductor Devices by Ambar N. Sengupta
Cover of the book Exposure Therapy by Ambar N. Sengupta
Cover of the book Ambulatory Gynecology by Ambar N. Sengupta
Cover of the book Reviews of Environmental Contamination and Toxicology by Ambar N. Sengupta
Cover of the book Advanced Transmission Electron Microscopy by Ambar N. Sengupta
Cover of the book Options in the Management of the Open Abdomen by Ambar N. Sengupta
Cover of the book An Introduction to Finite Tight Frames by Ambar N. Sengupta
Cover of the book Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science by Ambar N. Sengupta
Cover of the book Advances in Child Neuropsychology by Ambar N. Sengupta
Cover of the book One-Shot Color Astronomical Imaging by Ambar N. Sengupta
Cover of the book Multiscale Approaches to Protein Modeling by Ambar N. Sengupta
Cover of the book The Power of Stars by Ambar N. Sengupta
Cover of the book The Formation and Evolution of M33 as Revealed by Its Star Clusters by Ambar N. Sengupta
Cover of the book Balancing the Budget is a Progressive Priority by Ambar N. Sengupta
Cover of the book Operative Strategy in General Surgery by Ambar N. Sengupta
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy