Infinite-dimensional Lie Groups. General Theory and Main Examples
General Theory and Main Examples
Published on 7. November 2017
Book
Hardback
350 pages
978-0-387-09444-1 (ISBN)
Description
Provides a comprehensive introduction to this important subject, examining the basic structure theory of infinite-dimensional Lie groups
Essentially self-contained, provides all necessary background, excepting modest prerequisites
Clear exposition includes careful explanations, illustrative examples, numerous exercises, and detailed cross-references to simplify a non-linear reading of the material
Essentially self-contained, provides all necessary background, excepting modest prerequisites
Clear exposition includes careful explanations, illustrative examples, numerous exercises, and detailed cross-references to simplify a non-linear reading of the material
More details
Content
Preface.- Introduction.- Infinite-dimensional Calculus.- Infinite-dimensional Manifolds.- Lie Groups.- Locally Exponential Lie Groups.- Linear Lie Groups.- Direct Limits of Lie Groups.- Groups of Maps.- Groups of Diffeomorphisms.- Appendix A: Tools from Topology.- Appendix B: Basic Theory of Locally Convex Spaces.- Appendix C: Finite-dimensional Lie Algebras.- Appendix D: Calculus in Banach Spaces.- Appendix E: Smooth Maps into non-Lie Groups.- Appendix F: Cohomology of Lie Algebras.- Bibliography.- Index.