國立虎尾科技大學 |

Representation Theory of Finite Groups: a Guidebook

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Representation Theory of Finite Groups: a Guidebook/ by David A. Craven.
Author:	Craven, David A.
Description:	VIII, 294 p. 49 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Group theory. -
Online resource:	https://doi.org/10.1007/978-3-030-21792-1
ISBN:	9783030217921

Representation Theory of Finite Groups: a Guidebook
Craven, David A.

Representation Theory of Finite Groups: a Guidebook[electronic resource] /by David A. Craven. - 1st ed. 2019. - VIII, 294 p. 49 illus.online resource. - 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

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

527791
Group theory.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Representation Theory of Finite Groups: a Guidebook
LDR:02534nam a22003975i 4500 001 1006503
003 DE-He213
005 20200702114807.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030217921 $9 978-3-030-21792-1
024 7 $a 10.1007/978-3-030-21792-1 $2 doi
035 $a 978-3-030-21792-1
050 4 $a QA174-183
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 512.2 $2 23
100 1 $a Craven, David A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1300065
245 1 0 $a Representation Theory of Finite Groups: a Guidebook $h [electronic resource] / $c by David A. Craven.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a VIII, 294 p. 49 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Group theory. $3 527791
650 0 $a Associative rings. $3 893564
650 0 $a Rings (Algebra). $3 685051
650 0 $a Category theory (Mathematics). $3 1255325
650 0 $a Homological algebra. $3 1255326
650 1 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Category Theory, Homological Algebra. $3 678397
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030217914
776 0 8 $i Printed edition: $z 9783030217938
830 0 $a Universitext, $x 0172-5939 $3 1253835
856 4 0 $u https://doi.org/10.1007/978-3-030-21792-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)