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Lectures in Mathematics. ETH Zürich

Modules and Group Algebras

Authors: Carlson, Jon

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About this book

The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995. The aim of my lectures was the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. Every time that I had given such a course in the past fifteen years, the choice of the material and the order of presentation of the results have followed more or less the same basic pattern. Such a course began with the fundamentals of group cohomology, and then investigated the structure of cohomology rings, and their maximal ideal spectra. Then the variety of a module was defined and related to actual module structure through the rank variety. Applications followed. The standard approach was used in my University of Essen Lecture Notes [e1] in 1984. Evens [E] and Benson [B2] have written it up in much clearer detail and included it as part of their books on the subject.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Augmentations, nilpotent ideals, and semisimplicity

    Pages 2-5

    Carlson, Jon F.

  • Tensor products, Homs, and duality

    Pages 5-8

    Carlson, Jon F.

  • Restriction and induction

    Pages 9-12

    Carlson, Jon F.

  • Projective resolutions and cohomology

    Pages 12-17

    Carlson, Jon F.

  • The stable category

    Pages 17-26

    Carlson, Jon F.

Buy this book

eBook 23,79 €
price for Spain (gross)
  • ISBN 978-3-0348-9189-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 31,15 €
price for Spain (gross)
  • ISBN 978-3-7643-5389-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Modules and Group Algebras
Authors
Series Title
Lectures in Mathematics. ETH Zürich
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag, Basel, Switzerland
eBook ISBN
978-3-0348-9189-9
DOI
10.1007/978-3-0348-9189-9
Softcover ISBN
978-3-7643-5389-6
Edition Number
1
Number of Pages
XII, 92
Number of Illustrations
1 b/w illustrations
Topics