Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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

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Josi A. de Azcárraga 作者
Cambridge University Press
译者
1998-09-13 出版日期
476 页数
USD 90.00 价格
Paperback
Cambridge Monographs on Mathematical Physics 丛书系列
9780521597005 图书编码

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 图书标签: 群上同调  纤维丛  示性类  数学  微分流形   


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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 在线电子书 图书描述

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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