| 书目名称 | Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras |
| 编辑 | Emmanuel Letellier |
| 视频video | http://file.papertrans.cn/348/347263/347263.mp4 |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.. |
| 出版日期 | Book 2005 |
| 关键词 | Deligne-Lusztig induction; Fourier transforms; Lie Algebras; Lie algebra; character-sheaves; trigonometri |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b104209 |
| isbn_softcover | 978-3-540-24020-4 |
| isbn_ebook | 978-3-540-31561-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2005 |
|Archiver|手机版|小黑屋|
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