TY  - BOOK
AU  - Lie, Sophus
TI  - Theory of Transformation Groups I
SN  - 978-3-662-46211-9
CY  - New York: 
PB  - Springer
N1  - Modern Presentation

Three Principles of Thought Governing the Theory of Lie

Local Transformation Equations and Essential Parameters

Fundamental Differential Equations for Finite Continuous Transformation Groups

One-Term Groups and Ordinary Differential Equations

English Translation

Complete Systems of Partial Differential Equations


New Interpretation of the Solutions of a Complete System

Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations


Complete Systems Which Admit All Transformations of a One-term Group


Characteristic Relationships Between the Infinitesimal Transformations of a Group


Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants

The Defining Equations for the Infinitesimal Transformations of a Group


Determination of All Subgroups of an rr-term Group

Transitivity, Invariants, Primitivity

Determination of All Systems of Equations Which Admit a Given rr-term Group

Invariant Families of Infinitesimal Transformations


Composition and Isomorphism

UR  - http://link.springer.com/openurl?genre=book&isbn=978-3-662-46210-2
ER  -