国外数学名著系列（续一影印版）61：李群与李代数Ⅰ
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作者： （俄罗斯）奥尼契科 编著
出 版 社： 科学出版社
出版时间： 2009-1-1字数： 296000版次： 1页数： 235印刷时间： 2009/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787030235046包装： 精装编辑推荐
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 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.
内容简介
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.
目录
Ⅰ.Foundations of Lie Theory
Ⅱ.Lie Transformation Groups
Author Index
Subject Index
