New examples and constructions in infinite-dimensional Lie theory / von Jan Milan Eyni. Betreuer: Prof. Dr. Helge Glöckner. Paderborn, 2016
Inhalt
- Acknowledgements
- Abstract
- Introduction and Notations
- Diffbold0mu mumu (M) as a Lie group for a manifold M with corners
- Enveloping manifold
- Local manifold structure
- Preparation for results of smoothness
- Smoothness of composition
- Smoothness of the inversion
- Existence and uniqueness of the Lie group structure
- Integrability of Banach subalgebras
- Constructions for Lie algebras of compactly supported sections
- Some basic concepts and results
- Topological universal bilinear forms
- Universal continuous extensions of certain current algebras
- Extensions of groups of compactly supported sections
- Construction of the Lie group extension
- Integration of the Lie algebra action and the main result
- Universality of the Lie group extension
- Basic definitions and results for manifolds with corners
- Proof of Theorem 1.12
- Details for the proof of Theorem 3.40
- Some differential topology
- References
- Symbols
- Bibliography
- Index