Representations of Finite Groups of Lie Type
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Representations of Finite Groups of Lie Type
Digne, Francois; Michel, Jean
Cambridge University Press
03/2020
264
Mole
Inglês
9781108722629
15 a 20 dias
390
Descrição não disponível.
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.
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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.
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