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

J. L. Alperin (u. a.)

ISBN 10: 052144926X / ISBN 13: 9780521449267

Published by Cambridge University Press, 2003

About this Item

Local Representation Theory | Modular Representations as an Introduction to the Local Representation Theory of Finite Groups | J. L. Alperin (u. a.) | Taschenbuch | Kartoniert / Broschiert | Englisch | 2003 | Cambridge University Press | EAN 9780521449267 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 106868187

Bibliographic Details

• Title: Local Representation Theory | Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
• Publisher: Cambridge University Press
• Publication Date: 2003
• Language: English
• ISBN 10: 052144926X
• ISBN 13: 9780521449267
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 11D millimeters 229 millimeters width by 152 millimeters height by 11 millimeters depth
• Weight: 287 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups. Professor Alperin concentrates on local representation theory, emphasizing 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. Exercises are provided at the end of most sections; the results of some are used later in the text.

Book Description

Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups by concentrating on local representation theory, and emphasizing module theory throughout.