Transformation Groups And Lie Algebras

Author : Nail H Ibragimov
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 43,7 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9789814460866

Get Book

Transformation Groups and Lie Algebras by Nail H Ibragimov Pdf

This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Author : Philippe Tondeur
Publisher : Unknown
Page : 194 pages
File Size : 53,7 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:49015002649573

Get Book

Introduction to Lie Groups and Transformation Groups by Philippe Tondeur Pdf

Author : V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 47,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642579998

Get Book

Lie Groups and Lie Algebras I by V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg Pdf

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2013
Category : Electronic
ISBN : 7040367416

Get Book

变换群和李代数 by Anonim Pdf

Author : Nail H. Ibragimov,Blekinge teknikska högskola
Publisher : Unknown
Page : 121 pages
File Size : 49,7 Mb
Release : 2009
Category : Electronic
ISBN : 9172959762

Get Book

Transformation Groups and Lie Algebras by Nail H. Ibragimov,Blekinge teknikska högskola Pdf

Author : Sophus Lie
Publisher : Springer
Page : 643 pages
File Size : 43,7 Mb
Release : 2015-03-12
Category : Mathematics
ISBN : 9783662462119

Get Book

Theory of Transformation Groups I by Sophus Lie Pdf

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.

Author : Alexander A. Kirillov
Publisher : Cambridge University Press
Page : 237 pages
File Size : 49,5 Mb
Release : 2008-07-31
Category : Mathematics
ISBN : 9780521889698

Get Book

An Introduction to Lie Groups and Lie Algebras by Alexander A. Kirillov Pdf

Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples

Author : V.V. Gorbatsevich,E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 45,8 Mb
Release : 1996-12-18
Category : Mathematics
ISBN : 354061222X

Get Book

Lie Groups and Lie Algebras I by V.V. Gorbatsevich,E.B. Vinberg Pdf

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter

Author : Melvin Hausner,Jacob T. Schwartz
Publisher : CRC Press
Page : 242 pages
File Size : 42,8 Mb
Release : 1968
Category : Lie algebras
ISBN : 9780677002804

Get Book

Lie Groups, Lie Algebras by Melvin Hausner,Jacob T. Schwartz Pdf

Polished lecture notes provide a clean and usefully detailed account of the standard elements of the theory of Lie groups and algebras. Following nineteen pages of preparatory material, Part I (seven brief chapters) treats "Lie groups and their Lie algebras"; Part II (seven chapters) treats "complex semi-simple Lie algebras"; Part III (two chapters) treats "real semi-simple Lie algebras". The page design is intimidatingly dense, the exposition very much in the familiar "definition/lemma/proof/theorem/proof/remark" mode, and there are no exercises or bibliography. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Author : V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg
Publisher : Springer
Page : 238 pages
File Size : 48,7 Mb
Release : 2011-12-24
Category : Mathematics
ISBN : 3642580009

Get Book

Lie Groups and Lie Algebras I by V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg Pdf

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter

Author : Arkadij L. Onishchik,Ernest B. Vinberg
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642743344

Get Book

Lie Groups and Algebraic Groups by Arkadij L. Onishchik,Ernest B. Vinberg Pdf

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar "Sophus Lie" [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups". Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.

Author : Peter J. Olver
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468402742

Get Book

Applications of Lie Groups to Differential Equations by Peter J. Olver Pdf

This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.

Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642619816

Get Book

Transformation Groups in Differential Geometry by Shoshichi Kobayashi Pdf

Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.

Author : H. Omori
Publisher : Springer
Page : 165 pages
File Size : 43,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372950

Get Book

Infinite Dimensional Lie Transformation Groups by H. Omori Pdf

Author : T. Tom Dieck
Publisher : Springer
Page : 317 pages
File Size : 54,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385172

Get Book

Transformation Groups and Representation Theory by T. Tom Dieck Pdf