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Modular Representation Theory

New Trends and Methods

  • David J. Benson

Part of the Lecture Notes in Mathematics book series (LNM, volume 1081)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Pages 1-22
  3. Back Matter
    Pages 173-233

About this book

Introduction

The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians.

After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century.

Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction.

Keywords

Finite algebra cohomology complexity finite group homology representation theory

Authors and affiliations

  • David J. Benson
    • 1
  1. 1.Department of Mathematical SciencesUniversity of AberdeenAberdeenScotland UK

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-38940-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-13389-6
  • Online ISBN 978-3-540-38940-8
  • Series Print ISSN 0075-8434
  • Buy this book on publisher's site