Theory of Transformation Groups I

This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction t...

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Những tác giả chính:	Lie, Sophus, Merker, Joel
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Transformation groups Lie algebras Algebra Intermediate
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58198
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-581982023-11-11T06:05:02Z Theory of Transformation Groups I Lie, Sophus Merker, Joel Transformation groups Lie algebras Algebra Intermediate This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of examples. The major part of the present volume offers an extremely clear translation of the lucid original. The first four chapters provide not only a translation, but also a contemporary approach, which will help present day readers to familiarize themselves with the concepts at the heart of the subject. The editor's main objective was to encourage a renewed interest in the detailed classification of Lie algebras in dimensions 1, 2 and 3, and to offer access to Sophus Lie's monumental Galois theory of continuous transformation groups, established at the end of the 19th Century. Lie groups are widespread in mathematics, playing a role in representation theory, algebraic geometry, Galois theory, the theory of partial differential equations and also in physics, for example in general relativity. This volume is of interest to researchers in Lie theory and exterior differential systems and also to historians of mathematics. The prerequisites are a basic knowledge of differential calculus, ordinary differential equations and differential geometry. 2015-09-11T02:26:05Z 2015-09-11T02:26:05Z 2015 Book 978-3-662-46211-9 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58198 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Transformation groups Lie algebras Algebra Intermediate
spellingShingle	Transformation groups Lie algebras Algebra Intermediate Lie, Sophus Merker, Joel Theory of Transformation Groups I
description	This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of examples. The major part of the present volume offers an extremely clear translation of the lucid original. The first four chapters provide not only a translation, but also a contemporary approach, which will help present day readers to familiarize themselves with the concepts at the heart of the subject. The editor's main objective was to encourage a renewed interest in the detailed classification of Lie algebras in dimensions 1, 2 and 3, and to offer access to Sophus Lie's monumental Galois theory of continuous transformation groups, established at the end of the 19th Century. Lie groups are widespread in mathematics, playing a role in representation theory, algebraic geometry, Galois theory, the theory of partial differential equations and also in physics, for example in general relativity. This volume is of interest to researchers in Lie theory and exterior differential systems and also to historians of mathematics. The prerequisites are a basic knowledge of differential calculus, ordinary differential equations and differential geometry.
format	Book
author	Lie, Sophus Merker, Joel
author_facet	Lie, Sophus Merker, Joel
author_sort	Lie, Sophus
title	Theory of Transformation Groups I
title_short	Theory of Transformation Groups I
title_full	Theory of Transformation Groups I
title_fullStr	Theory of Transformation Groups I
title_full_unstemmed	Theory of Transformation Groups I
title_sort	theory of transformation groups i
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58198
_version_	1819777897969221632

Theory of Transformation Groups I

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