This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

About the Author
Markus Linckelmann is a Professor in the Department of Mathematics at City, University of London.

Reviews
'This 2-volume book is a very welcome addition to the existing literature in modular representation theory. It contains a wealth of material much of which is here presented in textbook form for the first time. It gives an excellent overview of the state of the art in this fascinating subject and also of the many challenging and fundamental open problems. It is well written and will certainly become a standard reference.' Burkhard Kulshammer, MathSciNet



Book Information
ISBN 9781108425902
Author Markus Linckelmann
Format Hardback
Page Count 520
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 870g
Dimensions(mm) 235mm * 157mm * 33mm