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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 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.
Reviews & endorsements
"The clearly-written and well-presented text can be used for a one-semester course or a seminar on the subject. I should like to recommend this book to anyone who wishes to learn more about these fascinating new ideas and developments in the representation theory of finite groups." M. Geck, LMS
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- 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
3. Simple and semi-simple algebras
4. Points and maximal ideals
5. Miscellaneous results on algebras
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
List of symbols.
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