<図書>
Compact Lie groups
責任表示 | Mark R. Sepanski |
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シリーズ | Graduate texts in mathematics ; 235 |
データ種別 | 図書 |
出版情報 | New York : Springer , c2007 |
本文言語 | 英語 |
大きさ | xii, 198 p. ; 25 cm |
概要 | Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no pr...or knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Included is the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6977618 |
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 | SEPA/10/1 | 2007 |
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023212006007811 |
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理系図3F 数理独自 | SER/GTM/235 | 2007 |
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023212006007823 |
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書誌詳細
一般注記 | Includes bibliographical references (p. [187]-191) and index |
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著者標目 | *Sepanski, Mark R. (Mark Roger) |
件 名 | LCSH:Lie groups LCSH:Compact groups |
分 類 | SG:510 |
書誌ID | 1001231230 |
ISBN | 9780387302638 |
NCID | BA80185137 |
巻冊次 | ISBN:9780387302638 ; XISBN:0387302638 |
登録日 | 2009.09.18 |
更新日 | 2017.02.18 |