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Lectures on Block Theory

Part of London Mathematical Society Lecture Note Series

Author: Burkhard Külshammer, Institute of Mathematics, Universität Augsburg

Date Published: April 1991
availability: Available
format: Paperback
isbn: 9780521405652

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About the Authors

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.

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Product details
- Date Published: April 1991
- format: Paperback
- isbn: 9780521405652
- length: 116 pages
- dimensions: 228 x 152 x 7 mm
- weight: 0.178kg
- availability: Available
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.
Author
Burkhard Külshammer, Institute of Mathematics, Universität Augsburg