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Lectures on Block Theory

Lectures on Block Theory

$51.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: April 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521405652

$ 51.99 (C)
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  • In this volume Burkhard KÜlshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puig's main result on the structure of the so-called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included.

    Reviews & endorsements

    "The clearly-written and well-presented text can be used for a one-semester course or a seminar on the subject. I should like to recommend this book to anyone who wishes to learn more about these fascinating new ideas and developments in the representation theory of finite groups." M. Geck, LMS

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    Product details

    • Date Published: April 1991
    • format: Paperback
    • isbn: 9780521405652
    • length: 116 pages
    • dimensions: 228 x 152 x 7 mm
    • weight: 0.178kg
    • availability: Available
  • Table of Contents

    1. Foundations
    2. Idempotents
    3. Simple and semi-simple algebras
    4. Points and maximal ideals
    5. Miscellaneous results on algebras
    6. Modules
    7. Groups acting on algebras
    8. Pointed groups
    9. Sylow theorems
    10. Groups in algebras
    11. Group algebras
    12. Blocks of group algebras
    13. Nilpotent blocks
    14. The source algebra of a nilpotent block
    15. Puigs theorem
    Bibliography
    Subject index
    List of symbols.

  • Author

    Burkhard Külshammer, Institute of Mathematics, Universität Augsburg

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