Synopses & Reviews
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.
Review
"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
Synopsis
This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.
Synopsis
This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.
Synopsis
This textbook is an introduction to block theory. It contains complete proofs that lead to some of the most recent results in the area. It is suitable for both researchers and for students with a moderate background in algebra and can be used for self study or a seminar on the subject.
Description
Includes bibliographical references (p. [94]-96) and index.
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.