Lectures on block theory / Burkhard Külshammer.

Format:

Book

Author/Creator:

Külshammer, Burkhard, author.

Series:

London Mathematical Society lecture note series ; 161.

London Mathematical Society lecture note series ; 161

Language:

English

Subjects (All):

Blocks (Group theory).

Physical Description:

1 online resource (viii, 105 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1991.

Language Note:

English

Summary:

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.

Contents:

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

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88465-4

1-107-36660-7

1-107-37129-5

1-107-36169-9

1-107-36829-4

1-299-40436-7

1-107-36414-0

0-511-56578-X