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New examples and constructions in infinite-dimensional Lie theory
Extensions of groups of compactly supported sections
Universality of the Lie group extension
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
The Frobenius theorem for Banach distributions
Application of our Frobenius theorem to Lie theory
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
Dissertation
New examples and constructions in infinite-dimensional Lie theory / von Jan Milan Eyni. Betreuer: Prof. Dr. Helge Glöckner
Entstehung
Paderborn
2016
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