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Character Theory and the McKay Conjecture (Cambridge Studies in Advanced Mathematics, Series Number 175) - Hardcover
Synopsis
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty.
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Book Description
A new era in the representation theory of finite groups began with the McKay conjecture. This book presents the conjecture in a clear and accessible way, with only minimal pre-requisites. Many fascinating aspects of character theory are explored along the way, with some new and elegant proofs.
About the Author
Gabriel Navarro is Professor in the Department of Mathematics at the University of Valencia. He has published over 160 papers, and the widely-cited volume Characters and Blocks of Finite Groups (Cambridge, 1998). He is a leading researcher in character theory and the McKay conjecture.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2018
- ISBN 10 1108428444
- ISBN 13 9781108428446
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages250
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A new era in the representation theory of finite groups began with the McKay conjecture. This book presents the conjecture in a clear and accessible way, with only minimal pre-requisites. Many fascinating aspects of character theory are explored along the w. Seller Inventory # 447231074
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Hardcover. Condition: new. Hardcover. The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all nite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty. A new era in the representation theory of finite groups began with the McKay conjecture. This book presents the conjecture in a clear and accessible way, with only minimal pre-requisites. Many fascinating aspects of character theory are explored along the way, with some new and elegant proofs. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781108428446
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