Representations of SL2(Fq)
Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial ex...
| Κύριος συγγραφέας: | |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
London :
Springer London,
2011.
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| Σειρά: | Algebra and Applications ;
13 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Part I Preliminaries
- Structure of SL2(Fq)
- The Geometry of the Drinfeld Curve
- Part II Ordinary Characters
- Harish-Chandra Induction
- Deligne-Lusztig Induction
- The Character Table
- Part III Modular Representations
- More about Characters of G and of its Sylow Subgroups
- Unequal Characteristic: Generalities
- Unequal Characteristic: Equivalences of Categories
- Unequal Characteristic: Simple Modules, Decomposition Matrices
- Equal Characteristic
- Part IV Complements
- Special Cases
- Deligne-Lusztig Theory: an Overview
- Part V Appendices
- A l-Adic Cohomology
- B Block Theory
- C Review of Reflection Groups.
