J.L. Alperin's Books

Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

198

Publisher

Cambridge University Press

Published Date

ISBN 10

052144926X

ISBN 13

9780521449267

Groups and Representations

By: J.L. Alperin,Rowen B. Bell

Write a review Read reviews Take a Quiz Solve Book Puzzle

Groups and Representations

By: J.L. Alperin,Rowen B. Bell

A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example. Readers are expected to be familiar with groups, rings, and fields, and to have a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to introduce the reader to additional topics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

200

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461207991

ISBN 13

9781461207993

Groups and Representations

By: J.L. Alperin,Rowen B. Bell

Write a review Read reviews Take a Quiz Solve Book Puzzle

Groups and Representations

By: J.L. Alperin,Rowen B. Bell

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

200

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461207991

ISBN 13

9781461207993

Measure Theory

By: J.L. Doob

Write a review Read reviews Take a Quiz Solve Book Puzzle

Measure Theory

By: J.L. Doob

This text is unique in accepting probability theory as an essential part of measure theory. Therefore, many examples are taken from probability, and probabilistic concepts such as independence and Markov processes are integrated into the text. Also, more attention than usual is paid to the role of algebras, and the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

219

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461208777

ISBN 13

9781461208778

Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

By: J. L. Alperin,Jonathan L. Alperin

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

198

Publisher

Cambridge University Press

Published Date

ISBN 10

052144926X

ISBN 13

9780521449267

Book's by J.L. Alperin

Local Representation Theory

Local Representation Theory

Groups and Representations

Groups and Representations

Groups and Representations

Groups and Representations

Measure Theory

Measure Theory

Local Representation Theory

Local Representation Theory

Username

Password

Username

Password

Password again

Birthday

Email