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Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017 / edited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone
(Progress in Mathematics. ISSN:2296505X ; 328)
版 | 1st ed. 2019. |
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出版者 | (Singapore : Springer Nature Singapore : Imprint: Birkhäuser) |
出版年 | 2019 |
大きさ | XIII, 289 p. 4 illus., 3 illus. in color : online resource |
著者標目 | Aubert, Anne-Marie editor Mishra, Manish editor Roche, Alan editor Spallone, Steven editor SpringerLink (Online service) |
件 名 | LCSH:Topological groups LCSH:Lie groups LCSH:Group theory LCSH:Harmonic analysis FREE:Topological Groups and Lie Groups FREE:Group Theory and Generalizations FREE:Abstract Harmonic Analysis |
一般注記 | Chapter 1: Introduction to the local Langlands correspondence -- Chapter 2. Arithmetic of cuspidal representations -- Chapter 3. Harmonic analysis and affine Hecke algebras -- Chapter 4. Types and Hecke algebras. This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike HTTP:URL=https://doi.org/10.1007/978-981-13-6628-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789811366284 |
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EB00196547 |
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