Lectures on Block Theory

ISBN-13: 9780521405652 / Angielski / Miękka / 1991 / 116 str.

Burkhard Kulshammer

Opis

In this volume Burkhard KUlshammer 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.

Recenzje

"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

Spis treści

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.