Representations of Finite Groups of Lie Type (Hardcover, 2 Revised edition)

1. Basic results on algebraic groups; 2. Structure theorems for reductive groups; 3. (B, N)-pairs; parabolic, Levi, and reductive subgroups; centralisers of semi-simple elements; 4. Rationality, the Frobenius endomorphism, the Lang?Steinberg theorem; 5. Harish?Chandra theory; 6. Iwahori?Hecke algebras; 7. The duality functor and the Steinberg character; 8. l-adic cohomology; 9. Deligne?Lusztig induction; the Mackey formula; 10. The character formula and other results on Deligne?Lusztig induction; 11. Geometric conjugacy and Lusztig series; 12. Regular elements; Gelfand?Graev representations; regular and semi-simple characters; 13. Green functions; 14. The decomposition of Deligne?Lusztig characters; References; Index.