Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:Josi A. de Azcárraga
出品人:
頁數:476
译者:
出版時間:1998-09-13
價格:USD 90.00
裝幀:Paperback
isbn號碼:9780521597005
叢書系列:Cambridge Monographs on Mathematical Physics
圖書標籤:
  • 群上同調 
  • 縴維叢 
  • 示性類 
  • 數學 
  • 微分流形 
  •  
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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 mathematical 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, fibre 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.

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