TY  - BOOK
AU  - Külshammer,Burkhard
TI  - Lectures on block theory
T2  - London Mathematical Society lecture note series
SN  - 9781107361690
AV  - QA176 .K85 1991eb
U1  - 512/.2 22
PY  - 1991///
CY  - Cambridge, New York
PB  - Cambridge University Press
KW  - Blocks (Group theory)
KW  - Blocs (Théorie des groupes)
KW  - MATHEMATICS
KW  - Group Theory
KW  - bisacsh
KW  - fast
KW  - Block
KW  - Mathematik
KW  - gnd
KW  - Blocksystem
KW  - Groupes finis
KW  - ram
KW  - Groupes nilpotents
KW  - Electronic books
N1  - Includes bibliographical references (pages 94-96) and index; 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
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552403
ER  -