| 书目名称 | Representations of SL2(Fq) | | 编辑 | Cédric Bonnafé | | 视频video | | | 概述 | Presents an introduction to ordinary and modular Deligne-Lusztig theory through the detailed study of an example: SL2(Fq).Will serve as a complimentary text to existing titles on Deligne-Lusztig theor | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | .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 provides 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 introduct | | 出版日期 | Textbook 2011 | | 关键词 | Deligne-Lusztig theory; Morita equivalences; SL(2, q); characters; derived equivalences; modular represen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-85729-157-8 | | isbn_softcover | 978-1-4471-2599-0 | | isbn_ebook | 978-0-85729-157-8Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer-Verlag London Limited 2011 |
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发表于 2025-3-21 16:45:57
