François Digne,
Jean Michel
Cambridge University Press
e druk, 1991
9780521406482
Representations of Finite Groups of Lie Type
Specificaties
Paperback, 168 blz.
|
Engels
Cambridge University Press |
e druk, 1991
ISBN13: 9780521406482
Rubricering
Onderdeel van serie
London Mathematical
Levertijd ongeveer 8 werkdagen
Samenvatting
This book is based on a graduate course taught at the University of Paris. The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne–Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.
Specificaties
ISBN13:9780521406482
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:168
Uitgever:Cambridge University Press
Serie:London Mathematical
Inhoudsopgave
Background results; 1. Bruhat decomposition; 2. Reduced subgroups of maximal rank, centralisers and semisimple elements; 3. Rationality, Frobenius maps, Lang's theorem; 4. Generalized induction associated with a bimodule; 5. Mackey's theorem; 6. Harish–Chandra theory; Complements on RGL; 7. Duality of characters; 8. Steinberg characters; l-adic cohomology; 9. Deligne-Lusztig induction; 10. Character formulae and their complements in Deligne–Lusztig induction; 11. Geometric conjugation, Lusztig series.