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Blocks of Tame Representation Type and Related Algebras

  • Book
  • © 1990

Overview

Authors:
  1. Karin Erdmann
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1428)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
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  2. Algebras, quivers, representation type, Auslander-Reiten theory, coverings

    • Karin Erdmann
    Pages 1-46

  3. Special biserial algebras and the local semidihedral algebra

    • Karin Erdmann
    Pages 47-79

  4. Tame symmetric local algebras

    • Karin Erdmann
    Pages 80-92

  5. More on modules, quivers, Auslander-Reiten sequences

    • Karin Erdmann
    Pages 93-120

  6. Stable Auslander-Reiten components for tame blocks

    • Karin Erdmann
    Pages 121-158

  7. Algebras of dihedral type

    • Karin Erdmann
    Pages 159-180

  8. Algebras of quaternion type

    • Karin Erdmann
    Pages 181-204

  9. Algebras of semidihedral type

    • Karin Erdmann
    Pages 205-262

  10. Centres, blocks, decomposition numbers

    • Karin Erdmann
    Pages 263-285

  11. Some applications

    • Karin Erdmann
    Pages 286-306

  12. Back Matter

    Pages 307-312
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Keywords

About this book

This monograph studies algebras that are associated to blocks of tame representation type. Over the past few years, a range of new results have been obtained and a comprehensive account of these is provided here to- gether with some new proofs of known results. Some general theory of algebras is also presented, as a means of understanding the subject. The book is addressed to researchers and graduate students interested in the links between representations of finite-dimensional algebras and modular group representation theory. The basic properties of modules and finite-dimensional algebras are assumed known.

Bibliographic Information

  • Book Title: Blocks of Tame Representation Type and Related Algebras

  • Authors: Karin Erdmann

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084003

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52709-1Published: 27 June 1990

  • eBook ISBN: 978-3-540-47115-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVI, 312

  • Topics: Group Theory and Generalizations

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