Mendeley出力
＜図書＞
The admissible dual of GL(N) via compact open subgroups
| 責任表示 | by Colin J. Bushnell and Philip C. Kutzko |
|---|---|
| シリーズ | Annals of mathematics studies ; no. 129 |
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , 1993 |
| 本文言語 | 英語 |
| 大きさ | ix, 313 p. ; 25 cm |
| 概要 | This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non- Archimedean local field F in terms of the structur... of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the trivial type, is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here. This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non- Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the trivial type, is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6822839 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | BUSH/30/1 | 1993 |
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068222193001948 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 307-310) and index |
|---|---|
| 著者標目 | *Bushnell, Colin J. (Colin John), 1947- Kutzko, Philip C., 1946- |
| 件 名 | LCSH:Representations of groups LCSH:Nonstandard mathematical analysis |
| 分 類 | LCC:QA171 DC20:512/.2 NDC8:411.6 |
| 書誌ID | 1000030424 |
| ISBN | 0691032564 |
| NCID | BA19262902 |
| 巻冊次 | ISBN:0691032564 ; PRICE:$59.50 : pbk ; ISBN:0691021147 ; PRICE:$24.95 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.11.02 |