Lectures on Block Theory
Seiten
1991
Cambridge University Press (Verlag)
978-0-521-40565-2 (ISBN)
Cambridge University Press (Verlag)
978-0-521-40565-2 (ISBN)
This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.
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.
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.
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.
| Erscheint lt. Verlag | 4.4.1991 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 228 mm |
| Gewicht | 178 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Technik ► Bauwesen | |
| ISBN-10 | 0-521-40565-3 / 0521405653 |
| ISBN-13 | 978-0-521-40565-2 / 9780521405652 |
| Zustand | Neuware |
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