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Book Cover
E-book
Author Külshammer, Burkhard

Title Lectures on block theory / Burkhard Külshammer
Published Cambridge ; New York : Cambridge University Press, 1991

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Description 1 online resource (viii, 105 pages)
Series London Mathematical Society lecture note series ; 161
London Mathematical Society lecture note series ; 161.
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
Bibliography Includes bibliographical references (pages 94-96) and index
Notes Print version record
Subject Blocks (Group theory)
MATHEMATICS -- Group Theory.
Blocks (Group theory)
Block Mathematik
Blocksystem Mathematik
Groupes finis.
Groupes nilpotents.
Form Electronic book
ISBN 9781107361690
1107361699