<図書>
Lie groups, Lie algebras, cohomology and some applications in physics
責任表示 | José A. de Azcárraga and José M. Izquierdo |
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シリーズ | Cambridge monographs on mathematical physics |
データ種別 | 図書 |
出版情報 | Cambridge ; New York, NY, USA : Cambridge University Press , 1995 |
本文言語 | 英語 |
大きさ | xvii, 455 p. ; 26 cm |
概要 | Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathemat...cal theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fiber bundles and connections, characteristic classes, index theorems, monopoles, instantons, extensions of Lie groups and algebras, some applications in supersymmetry, Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic cohomology, jet-bundle approach to variational principles in mechanics, Wess-Zumino-Witten terms, infinite Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics. 続きを見る |
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 | AZCA/10/1 | 1995 |
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023211996002476 |
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理系図3F 数理独自 | AZCA/10/1A |
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023211996002488 |
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書誌詳細
一般注記 | Includes bibliographical references and index |
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著者標目 | *Azcárraga, J. A. de, 1941- Izquierdo, José M |
件 名 | LCSH:Lie groups LCSH:Lie algebras LCSH:Homology theory LCSH:Mathematical physics |
分 類 | LCC:QC20.7.L54 DC20:512/.55 |
書誌ID | 1001391467 |
ISBN | 052146501X |
NCID | BA26279224 |
巻冊次 | ISBN:052146501X |
登録日 | 2009.11.02 |
更新日 | 2009.11.02 |