Charles Loewner

Theory of Continuous Groups

• Broschiertes Buch

Produktbeschreibung

These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 edition.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 126
• Erscheinungstermin: 4. Februar 2008
• Englisch
• Abmessung: 232mm x 158mm x 7mm
• Gewicht: 168g
• ISBN-13: 9780486462929
• ISBN-10: 0486462927
• Artikelnr.: 22862076

Autorenporträt

Charles Loewner was a renowned Professor of Mathematics at Stanford University.

Inhaltsangabe

Preface Lecture I: Transformation Groups
Similarity Lecture II: Representations of Groups
Combinations of Representations
Similarity and Reducibility Lecture III: Representations of Cyclic Groups
Representations of Finite Abelian Groups
Representations of Finite Groups Lecture IV: Representations of Finite Groups (cont.)
Characters Lecture V: Representations of Finite Groups (conc.)
Introduction to Differentiable Manifolds
Tensor Calculus on a Manifold Lecture VI: Quantities, Vectors, and Tensors
Generation of Quantities by Differentiation
Commutator of Two Contravariant Vector Fields
Hurwitz Integration on a Group Manifold Lecture VII: Hurwitz Integration on a Group Manifold (cont.)
Representation of Compact Groups
Existence of Representations Lecture VIII: Representation of Compact Groups (cont.)
Characters
Examples Lecture IX: Lie Groups
Infinitesimal Transformations on a Manifold Lecture X: Infinitesimal Transformations of a Group
Examples
Geometry on the Group Space Lecture XI: Parallelism
First Fundamental Theorem of Lie Groups
Mayer-Lie Systems Lecture XII: The Sufficiency Proof
First Fundamental Theorem
Converse
Second Fundamental Theorem
Converse Lecture XIII: Converse of the Second Fundamental Theorem (cont.)
Concept of Group Germ Lecture XIV: Converse of the Third Fundamental Theorem
The Helmholtz-Lie Problem Index