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Representations of Finite Groups of Lie Type - François Digne, Jean Michel

Representations of Finite Groups of Lie Type

Buch | Hardcover
168 Seiten
1991
Cambridge University Press (Verlag)
978-0-521-40117-3 (ISBN)
CHF 279,30 inkl. MwSt
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In this book, which 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.
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.

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.

Erscheint lt. Verlag 26.4.1991
Reihe/Serie London Mathematical Society Student Texts
Verlagsort Cambridge
Sprache englisch
Maße 155 x 235 mm
Gewicht 374 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-521-40117-8 / 0521401178
ISBN-13 978-0-521-40117-3 / 9780521401173
Zustand Neuware
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