Representation Theory of Finite Groups: a Guidebook - David A. Craven - Librairie Eyrolles
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Representation Theory of Finite Groups: a Guidebook
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Representation Theory of Finite Groups: a Guidebook

Representation Theory of Finite Groups: a Guidebook

David A. Craven - Collection Yellow Sale 2023

294 pages, parution le 15/09/2019

Résumé

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.

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.

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.David A. Craven is a Royal Society Research Fellow and Senior Birmingham Fellow at the University of Birmingham. He has worked on a variety of areas within representations of groups, from the local-global conjectures to representations of symmetric groups, and groups of Lie type.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) David A. Craven
Collection Yellow Sale 2023
Parution 15/09/2019
Nb. de pages 294
EAN13 9783030217914

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