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

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe
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发表于2024-11-23

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

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

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


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出版者:Cambridge University Press
作者:Josi A. de Azcárraga
出品人:
页数:476
译者:
出版时间:1998-09-13
价格:USD 90.00
装帧:Paperback
isbn号码:9780521597005
丛书系列:Cambridge Monographs on Mathematical Physics

图书标签: 群上同调  纤维丛  示性类  数学  微分流形   

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics (Cambridge Monographs on Mathe 2024 pdf epub mobi 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.

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

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