Lectures on block theory
著者
書誌事項
Lectures on block theory
（London Mathematical Society lecture note series, 161）
Cambridge University Press, 1991
大学図書館所蔵 件 / 全68件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Based on series of lectures at the University of Oxford in winter 1988/89 and at the University of Mainz in winter 1989/90
Bibliography: p. [94]-96
Includes index
内容説明・目次
内容説明
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 Kulshammer 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.
目次
- 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.
「Nielsen BookData」 より