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...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
London :
Springer London : Springer e-books
[20..].
Cham : Springer Nature |
| Cyfres: | Algebra and Applications
13 |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Description d'après consultation du 25 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Representations of SL2(Fq), Cédric Bonnafé, 2010, London, Springer, 1 vol. (XXII-186 p.), Algebra and applications, 978-0-85729-156-1 |
| LEADER | 04179nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | 967957 | ||
| 008 | 110106q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN149034598 | ||
| 020 | |a 9780857291578 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 20-XX. 2010 | ||
| 084 | |a 20-02. 2010 | ||
| 100 | 1 | |a Bonnafé, Cédric, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Representations of SL2(Fq) |c Cédric Bonnafé. |
| 260 | |a London : |b Springer London : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algebra and Applications |v 13 | |
| 500 | |a Description d'après consultation du 25 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 177-179 Index p. 180-183 | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 example, namely the group SL2(Fq), which not only provide the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects. The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups. At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory | ||
| 650 | |a Groupes finis | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Représentations de groupes | ||
| 776 | 0 | |0 154439452 |t Representations of SL2(Fq) |f Cédric Bonnafé |d 2010 |c London |n Springer |p 1 vol. (XXII-186 p.) |s Algebra and applications |z 978-0-85729-156-1 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-85729-157-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-W8M7D7G7-G |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75062597X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-85729-157-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753983281 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-85729-157-8 |z Accès INSA CVL | |
| 997 | |0 967957 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||