Lie, Sophus
Theory of Transformation Groups I/
- New York: Springer,
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
978-3-662-46211-9