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<図書>
Lie groups, Lie algebras, cohomology and some applications in physics

責任表示 José A. de Azcárraga and José M. Izquierdo
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



理系図3F 数理独自 AZCA/10/1 1995
023211996002476


理系図3F 数理独自 AZCA/10/1A

023211996002488

書誌詳細

一般注記 Includes bibliographical references and index
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

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