Representations of finite groups of Lie type / Franc̦ois Digne and Jean Michel.
Material type: TextSeries: London Mathematical Society student texts ; 21.Publication details: Cambridge ; New York : Cambridge University Press, 1991.Description: 1 online resource (159 pages)Content type:- text
- computer
- online resource
- 9781139172417
- 1139172417
- 9781107088245
- 1107088240
- 9781107094468
- 1107094461
- 1316086941
- 9781316086940
- 1107091276
- 9781107091276
- 1107100267
- 9781107100268
- Representations of Lie groups
- Finite groups
- Représentations des groupes de Lie
- Groupes finis
- MATHEMATICS -- Algebra -- Linear
- Finite groups
- Representations of Lie groups
- Darstellung Mathematik
- Endliche Gruppe
- Lie-Typ-Gruppe
- Darstellungstheorie
- Representatie (algemeen)
- Lie-groepen
- Représentations de groupes de Lie
- Groupes finis
- 512/.55 22
- QA387 .D54 1991eb
- 31.21
- 31.30
- *20C33
- 20-02
- 20G05
- SK 340
- MAT 225f
- MAT 202f
- MAT 203f
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---|---|---|---|---|---|---|---|---|
Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 156-157) and index.
1. Bruhat decomposition parabolic subgroups -- 2. Intersections of parabolic subgroups -- 3. Rationality, Frobenius endomorphism -- 4. Harish-Chandra induction and restriction -- 5. The Mackey formula -- 6. Harish-Chandra's theory -- 7. Further results on Harish Chandra induction -- 8. The duality factor -- 9. The Steinberg character -- 10. l-adic cohomology -- 11. Deligne-Lusztig induction : the Mackey formula -- 12. The character formula and other results -- 13. Geometric conjugacy and Lusztig series -- 14. Regular elements : Gelfand-Graev representations -- 15. Examples.
Print version record.
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.
English.
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