Mendeley出力
＜図書＞
Theory of Lie groups
| 責任表示 | Claude Chevalley |
|---|---|
| シリーズ | Princeton mathematical series ; 8 |
| データ種別 | 図書 |
| 出版情報 | Princeton : Princeton Univ. Press , 1946 |
| 本文言語 | 英語 |
| 大きさ | viii, 217 p. ; 24 cm |
| 概要 | This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this id...a to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, & the calculus of exterior differential forms. The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined & correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, & homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups. The continued importance of Lie groups in mathematics & theoretical physics make this an indispensable volume for researchers in both fields. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6827239 |
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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1 | 理系図3F 数理独自 | CHEV/10/2-1A | 1946 |
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068222480136512 |
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1 | 理系図3F 数理独自 | CHEV/10/2-1B | 1946 |
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068222480156592 |
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1 | 理系図3F 数理独自 | CHEV/10/2-1 | 1946 |
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068222480176644 |
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1 | 理系図 自動書庫 | 120/Che | 1950 |
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027232001009386 |
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1 | 理系図 自動書庫 | 411.68/C 39/(1) | 1950 |
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068222480152251 |
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書誌詳細
| 著者標目 | *Chevalley, C. (Claude), 1909- |
|---|---|
| 件 名 | LCSH:Groups, Continuous |
| 書誌ID | 1000473359 |
| ISBN | 0691080526 |
| NCID | BA02580856 |
| 巻冊次 | 1 ; ISBN:0691080526 |
| 登録日 | 2009.09.14 |
| 更新日 | 2009.09.17 |