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An Algebraic Approach to Association Schemes

  • Book
  • © 1996

Overview

Authors:
  1. Paul-Hermann Zieschang
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1628)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XII
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  2. Basic results

    • Paul-Hermann Zieschang
    Pages 1-32

  3. Decomposition theory

    • Paul-Hermann Zieschang
    Pages 33-64

  4. Algebraic prerequisites

    • Paul-Hermann Zieschang
    Pages 65-96

  5. Representation theory

    • Paul-Hermann Zieschang
    Pages 97-121

  6. Theory of generators

    • Paul-Hermann Zieschang
    Pages 123-176

  7. Back Matter

    Pages 177-189
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Keywords

About this book

The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups. - The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.

Bibliographic Information

  • Book Title: An Algebraic Approach to Association Schemes

  • Authors: Paul-Hermann Zieschang

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0097032

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61400-5Published: 19 August 1996

  • eBook ISBN: 978-3-540-68523-4Published: 13 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 200

  • Topics: Combinatorics, Geometry, Algebra

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