Lectures on block theory / Burkhard Külshammer.

By:

Külshammer, Burkhard

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 161.Publication details: Cambridge ; New York : Cambridge University Press, 1991.Description: 1 online resource (viii, 105 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107361690
1107361699

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Lectures on block theory.DDC classification:

512/.2 22

LOC classification:

QA176 .K85 1991eb

Other classification:

31.21
*20C20
16P10
16S34
20-01
20C05
SI 320
SK 260

Online resources:

Click here to access online

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

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.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 94-96) and index.

Print version record.

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.

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