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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 t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1991.
|
| Colección: | London Mathematical Society student texts ;
21. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Digne, François. | |
| 245 | 1 | 0 | |a Representations of finite groups of Lie type / |c Franc̦ois Digne and Jean Michel. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1991. | ||
| 300 | |a 1 online resource (159 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a London Mathematical Society student texts ; |v 21 | |
| 504 | |a Includes bibliographical references (pages 156-157) and index. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Representations of Lie groups. | |
| 650 | 0 | |a Finite groups. | |
| 650 | 6 | |a Représentations des groupes de Lie. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Finite groups. |2 fast |0 (OCoLC)fst00924908 | |
| 650 | 7 | |a Representations of Lie groups. |2 fast |0 (OCoLC)fst01743339 | |
| 650 | 7 | |a Darstellung |g Mathematik |2 gnd | |
| 650 | 7 | |a Endliche Gruppe |2 gnd | |
| 650 | 7 | |a Lie-Typ-Gruppe |2 gnd | |
| 650 | 7 | |a Darstellungstheorie |2 gnd | |
| 650 | 1 | 7 | |a Representatie (algemeen) |2 gtt |
| 650 | 1 | 7 | |a Lie-groepen. |2 gtt |
| 650 | 7 | |a Représentations de groupes de Lie. |2 ram | |
| 650 | 7 | |a Groupes finis. |2 ram | |
| 700 | 1 | |a Michel, Jean. | |
| 776 | 0 | 8 | |i Print version: |a Digne, Franc̦ois. |t Representations of finite groups of Lie type. |d Cambridge ; New York : Cambridge University Press, 1991 |z 0521401178 |w (DLC) 91210586 |w (OCoLC)23847857 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 21. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570484 |z Texto completo |
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