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Lectures on Block Theory

Lectures on Block Theory

£35.99

Part of London Mathematical Society Lecture Note Series

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

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  • Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs 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. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks.

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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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