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[美] 科沃里(Claude Chevalley) 著
出版社: 世界图书出版公司 ISBN:9787510050657 版次:1 商品编码:11142975 包装:平装 外文名称:Theory of Lie Groups 开本:24开 出版时间:2013-01-01 用纸:胶版纸 页数:213 正文语种:英文
A Lie group is at the same time a group, a topological space and a manifold: it has therefore three kinds of "structures," which are interrelated with each other.The elem,entary properties of abstractgroups are by now sufficiently well known to the general mathematical public to make it unnecessary for such a book as this one to contain a purely group-theoretic chapter.The theory of topological groups, however, has been included and is treated in Chapter II. The great- est part of this chapteris concerned with the theory of covering spaces and groups, which is developed independently from the theory of paths. Chapter III is concerned with the theory of (analytic) mani-folds (independently of the notion of group).Our definition of a manifold is inspired by the definition of a Riemann surface given by H. Weyl in his book。‘Die Idee der Riemannschen Flache"; it has, compared with the definition by overlapping system of coordinates, the advantage of being intrinsic.The theory of involutive systems of differential equations on a manifold is treated not only from the local point of view but also in the large. In order to achieve this, a defini-tion of the submanifolds of a manifold is given according to which a submanifold is not necessarily a topological subspace of the manifold in which it is imbedded.
Ⅰ.THE CLASSICAL LINEAR GROUPS
Ⅱ.TOPOLIGIVAL GROUPS
Ⅲ.MANIFOLDS
Ⅳ.ANAKYTIC GROUPS.LIE GROUPS
Ⅴ.THE DIFFERENTIAL CALCULUS OF CARTAN
Ⅵ.COMPACT LIE AND THEIR REPRESENTATIONG
INDEX
李群论(英文版) [Theory of Lie Groups] 电子书 下载 mobi epub pdf txt
李群论(英文版) [Theory of Lie Groups]-so88
李群论(英文版) [Theory of Lie Groups] pdf epub mobi txt 电子书 下载 2022
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☆☆☆☆☆
||
[美] 科沃里(Claude Chevalley) 著
出版社: 世界图书出版公司 ISBN:9787510050657 版次:1 商品编码:11142975 包装:平装 外文名称:Theory of Lie Groups 开本:24开 出版时间:2013-01-01 用纸:胶版纸 页数:213 正文语种:英文
内容简介
Expository books on the theory of Lie groups generally confine themselves to the local aspect of the theory.This limitation was probably necessary as long as general topology was not yet sufficiently well elaborated to provide a solid base for a theory in the large.These days are now passed, and we have thought that it would be'useful to have a systematic treatment of the theory from a global point of view. The present volume introduces the main basic principles which govern the theory of Lie groups.A Lie group is at the same time a group, a topological space and a manifold: it has therefore three kinds of "structures," which are interrelated with each other.The elem,entary properties of abstractgroups are by now sufficiently well known to the general mathematical public to make it unnecessary for such a book as this one to contain a purely group-theoretic chapter.The theory of topological groups, however, has been included and is treated in Chapter II. The great- est part of this chapteris concerned with the theory of covering spaces and groups, which is developed independently from the theory of paths. Chapter III is concerned with the theory of (analytic) mani-folds (independently of the notion of group).Our definition of a manifold is inspired by the definition of a Riemann surface given by H. Weyl in his book。‘Die Idee der Riemannschen Flache"; it has, compared with the definition by overlapping system of coordinates, the advantage of being intrinsic.The theory of involutive systems of differential equations on a manifold is treated not only from the local point of view but also in the large. In order to achieve this, a defini-tion of the submanifolds of a manifold is given according to which a submanifold is not necessarily a topological subspace of the manifold in which it is imbedded.
内页插图
目录
INTRODCTIONⅠ.THE CLASSICAL LINEAR GROUPS
Ⅱ.TOPOLIGIVAL GROUPS
Ⅲ.MANIFOLDS
Ⅳ.ANAKYTIC GROUPS.LIE GROUPS
Ⅴ.THE DIFFERENTIAL CALCULUS OF CARTAN
Ⅵ.COMPACT LIE AND THEIR REPRESENTATIONG
INDEX
前言/序言
李群论(英文版) [Theory of Lie Groups] 电子书 下载 mobi epub pdf txt
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