Character Theory of Finite Groups of Lie Type - A Guided Tour

A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.

List of contents

1. Reductive groups and Steinberg maps; 2. Lusztig's classification of irreducible characters; 3. Harish-Chandra theories; 4. Unipotent characters; Appendix. Further reading and open questions; References; Index.

About the author

Meinolf Geck is Professor of Algebra at Universität 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 Universität 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.

Summary

The character theory of reductive groups over finite fields is a rich, complex and vast field, incorporating tools and methods from many mathematical areas. This book provides a contemporary treatment of the theory and is a useful reference for graduate students and researchers with a basic understanding of algebraic geometry.

Product details

• Authors: Meinolf Geck, Meinolf (Universitat Stuttgart) Geck, Meinolf (Universitat Stuttgart) Malle Geck, Geck Meinolf, Gunter Malle, Gunter (Technische Universitat Kaiserslautern Malle, Malle Gunter
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.05.2020
• EAN: 9781108489621
• ISBN: 978-1-108-48962-1
• No. of pages: 404
• Series: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General, Mathematics