Representing Finite Groups : A Semisimple Introduction

Ambar N. Sengupta

ISBN 10: 148999808X / ISBN 13: 9781489998088

Verlag: Springer New York, Springer New York, 2014

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9781489998088

Bibliografische Details

• Titel: Representing Finite Groups : A Semisimple Introduction
• Verlag: Springer New York, Springer New York
• Erscheinungsjahr: 2014
• Sprache: Englisch
• ISBN-10: 148999808X
• ISBN-13: 9781489998088
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 21 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 21 mm
• Gewicht: 587 Gramm

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

The author is Professor of Mathematics at Louisiana State University.