李群与李代数I:李理论基础，李交换群 2024 pdf epub mobi 电子书

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发表于2024-06-03

李群与李代数I:李理论基础，李交换群 2024 pdf epub mobi 电子书

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出版者:科学出版社

作者:奥尼契科

出品人:

页数:235

译者:

出版时间:2009-1

价格:58.00元

装帧:精装

isbn号码:9787030235046

丛书系列:国外数学名著系列（影印版）

图书标签: 数学

李群与李代数I:李理论基础，李交换群 2024 pdf epub mobi 电子书图书描述

《国外数学名著系列(续一)(影印版)61:李群与李代数1(李理论基础李交换群)》主要内容：The book by Gorbatsevich, Onishchik and Vinberg is the first volume in a subseries of the Encyclopaedia devoted to the theory of Lie groups and Lie algebras.

The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternative approach via the universal enveloping algebra and the Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie groups.

The second more advanced part treats the topic of Lie transformation groups covering e.g. properties of orbits and stabilizers,homogeneous fibre bundles, Frobenius duality, groups of automorphisms of geometric structures, Lie algebras of vector fields and the existence of slices. The work of the last decades including the most recent research results is covered.

The book contains numerous examples and describes connections with topology, differential geometry, analysis and applications. It is written for graduate students and researchers in mathematics and theoretical physics.

李群与李代数I:李理论基础，李交换群 2024 pdf epub mobi 电子书

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