Lectures on Block Theory

Lectures on Block Theory

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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 Kulshammer 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.show more

Product details

  • Electronic book text
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • 1139242881
  • 9781139242882

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.show more

Review quote

"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, LMSshow more