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Lectures on block theory / Burkhard Külshammer

Author
Külshammer, Burkhard
Published
Cambridge ; New York : Cambridge University Press, 1991.
Physical Description
1 online resource (viii, 105 pages).
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Series
Contents
Cover; Title; Copyright; Contents; Preface; 1. 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. Puig's Theorem; Bibliography; Subject Index; List of Symbols
Summary
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.
Subject(s)
ISBN
9781107361690 (electronic bk.)
1107361699 (electronic bk.)
0521405653
9780521405652
9780511565786
Bibliography Note
Includes bibliographical references (pages 94-96) and index.
View MARC record | catkey: 43621237