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Representation theory of finite grou...

Craven, David A.

Representation theory of finite groupsa guidebook /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representation theory of finite groupsby David A. Craven.
Reminder of title:	a guidebook /
Author:	Craven, David A.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 294 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite groups.
Online resource:	https://doi.org/10.1007/978-3-030-21792-1
ISBN:	9783030217921$q(electronic bk.)

Representation theory of finite groupsa guidebook /
Craven, David A.

Representation theory of finite groupsa guidebook /[electronic resource] :by David A. Craven. - Cham :Springer International Publishing :2019. - viii, 294 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.

This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.

ISBN: 9783030217921$q(electronic bk.)

Standard No.: 10.1007/978-3-030-21792-1doiSubjects--Topical Terms:

245404
Finite groups.

LC Class. No.: QA177 / .C73 2019

Dewey Class. No.: 512.23

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245 1 0 $a Representation theory of finite groups $h [electronic resource] : $b a guidebook / $c by David A. Craven.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 294 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.
520 $a This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.
650 0 $a Finite groups. $3 245404
650 0 $a Representations of groups. $3 191076
650 1 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Category Theory, Homological Algebra. $3 275954
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830 0 $a Universitext. $3 558272
856 4 0 $u https://doi.org/10.1007/978-3-030-21792-1
950 $a Mathematics and Statistics (SpringerNature-11649)