AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Infinite-Dimensional Lie Groups

About this Title

Hideki Omori, Science University of Tokyo

Publication: Translations of Mathematical Monographs
Publication Year: 1997; Volume 158
ISBNs: 978-1-4704-2635-4 (print); 978-1-4704-4573-7 (online)
DOI: https://doi.org/10.1090/mmono/158
MathSciNet review: MR1421572
MSC: Primary 22E65; Secondary 22-02, 58B25, 58D05

Read more about this volume

Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• Introduction
• Chapter I. Infinite-dimensional calculus
• Chapter II. Infinite-dimensional manifolds
• Chapter III. Infinite-dimensional Lie groups
• Chapter IV. Geometric structures on orbits
• Chapter V. Fundamental theorems for differentiability
• Chapter VI. Groups of $C^\infty $ diffeomorphisms on compact manifolds
• Chapter VII. Linear operators
• Chapter VIII. Several subgroups of $\mathcal {D}(M)$
• Chapter IX. Smooth extension theorems
• Chapter X. Group of diffeomorphisms on cotangent bundles
• Chapter XI. Pseudodifferential operators on manifolds
• Chapter XII. Lie algebra of vector fields
• Chapter XIII. Quantizations
• Chapter XIV. Poisson manifolds and quantum groups
• Chapter XV. Weyl manifolds
• Chapter XVI. Infinite-dimensional Poisson manifolds

View full volume PDF