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Representation Theory of Finite Groups: a Guidebook

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Representation Theory of Finite Groups: a Guidebook/ by David A. Craven.
作者:	Craven, David A.
面頁冊數:	VIII, 294 p. 49 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Group theory. -
電子資源:	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
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