Description
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
About the Author
Meinolf Geck is Professor of Algebra at Universitat Stuttgart. He works in the areas of algebraic groups and representation theory of finite groups and has (co-)authored books including An Introduction to Algebraic Geometry and Algebraic Groups (2003), Representations of Hecke Algebras at Roots of Unity (2011) and Representations of Reductive Groups (1998). Gunter Malle is Professor of Mathematics at Technische Universitat Kaiserslautern, Germany. He works in the area of representation theory of finite groups and he co-authored Linear Algebraic Groups and Finite Groups of Lie Type (2011) and Inverse Galois Theory (1999). Professor Malle received an ERC Advanced Grant on 'Counting conjectures' in 2012.
Reviews
'The book is very well written ... the entire text is meticulously referenced and succeeds in giving a fascinating guided tour through this vast territory.' Donald L. White, Mathematical Reviews
Book Information
ISBN 9781108489621
Author Meinolf Geck
Format Hardback
Page Count 404
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 680g
Dimensions(mm) 234mm * 156mm * 26mm
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
About the Author
Meinolf Geck is Professor of Algebra at Universitat Stuttgart. He works in the areas of algebraic groups and representation theory of finite groups and has (co-)authored books including An Introduction to Algebraic Geometry and Algebraic Groups (2003), Representations of Hecke Algebras at Roots of Unity (2011) and Representations of Reductive Groups (1998). Gunter Malle is Professor of Mathematics at Technische Universitat Kaiserslautern, Germany. He works in the area of representation theory of finite groups and he co-authored Linear Algebraic Groups and Finite Groups of Lie Type (2011) and Inverse Galois Theory (1999). Professor Malle received an ERC Advanced Grant on 'Counting conjectures' in 2012.
Reviews
'The book is very well written ... the entire text is meticulously referenced and succeeds in giving a fascinating guided tour through this vast territory.' Donald L. White, Mathematical Reviews
Book Information
ISBN 9781108489621
Author Meinolf Geck
Format Hardback
Page Count 404
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 680g
Dimensions(mm) 234mm * 156mm * 26mm
