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London Mathematical Society Lecture Note #161: Lectures on Block Theoryby Burkhard Kulshammer
Synopses & ReviewsPublisher Comments: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 socalled 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.
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.
Synopsis:This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.
Description:Includes bibliographical references (p. [94]96) and index.
Table of Contents1. Foundations; 2. Idempotents; 3. Simple and semisimple 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.
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