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Table of Contents
Part I Modern Presentation
1 Three Principles of Thought Governing the Theory of Lie
2 Local Transformation Equations and Essential Parameters
3 Fundamental Differential Equations for Finite Continuous Transformation Groups
4 One-Term Groups and Ordinary Differential.- Part II English Translation
5 Complete Systems of Partial Differential Equations
7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations
8 Complete Systems Which Admit All Transformations of a One-term Group
9 Characteristic Relationships Between the Infinitesimal Transformations of a Group
10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants
11 The Defining Equations for the Infinitesimal Transformations of a Group
12 Determination of All Subgroups of an r-term Group
13 Transitivity, Invariants
14 Determination of All Systems of Equations Which Admit a Given r-term Group
15 Invariant Families of Infinitesimal Transformations
16 The Adjoint Group
17 Composition and Isomorphism
18 Finite Groups, the Transformations of Which Form Discrete Continuous Families
19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups
20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group
21 The Group of Parameters
22 The Determination of All r-term Groups
23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups
25 Differential Invariants
26 The General Projective Group
27 Linear Homogeneous Groups
28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space
29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups
Glossary of significantly used words
Index./p>.
1 Three Principles of Thought Governing the Theory of Lie
2 Local Transformation Equations and Essential Parameters
3 Fundamental Differential Equations for Finite Continuous Transformation Groups
4 One-Term Groups and Ordinary Differential.- Part II English Translation
5 Complete Systems of Partial Differential Equations
7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations
8 Complete Systems Which Admit All Transformations of a One-term Group
9 Characteristic Relationships Between the Infinitesimal Transformations of a Group
10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants
11 The Defining Equations for the Infinitesimal Transformations of a Group
12 Determination of All Subgroups of an r-term Group
13 Transitivity, Invariants
14 Determination of All Systems of Equations Which Admit a Given r-term Group
15 Invariant Families of Infinitesimal Transformations
16 The Adjoint Group
17 Composition and Isomorphism
18 Finite Groups, the Transformations of Which Form Discrete Continuous Families
19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups
20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group
21 The Group of Parameters
22 The Determination of All r-term Groups
23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups
25 Differential Invariants
26 The General Projective Group
27 Linear Homogeneous Groups
28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space
29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups
Glossary of significantly used words
Index./p>.