Representing Finite Groups

A Semisimple Introduction
 Previously published in hardcover
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This book covers the basics of representation theory for finite groups from the viewpoint of semisimple algebras and modules over them. The presentation interweaves specific examples with the development of powerful tools based on the notion of semisimplicity.
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Presents basics of representation theory of finite groups from the point of view of semisimple algebras and modules over them
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Concepts and Constructs. -Basic Examples. - The Group Algebra. - More Group Algebra. - Simply Semisimple . -Representations of Sn. - Characters. - Induced Representations. - Commutant Duality. -Character Duality. -Representations of U(N). - PS: Algebra. -Bibliography.
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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.
Autor: Ambar N. Sengupta
The author is Professor of Mathematics at Louisiana State University.

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Autor: Ambar N. Sengupta
ISBN-13 :: 9781489998088
ISBN: 148999808X
Erscheinungsjahr: 03.03.2014
Verlag: Springer New York
Gewicht: 585g
Seiten: 388
Sprache: Englisch
Auflage 2012
Sonstiges: Taschenbuch, 235x155x20 mm
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