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