Buch, Englisch, Band 274, 350 Seiten, GB, Format (B × H): 155 mm x 235 mm
General Theory and Main Examples
Buch, Englisch, Band 274, 350 Seiten, GB, Format (B × H): 155 mm x 235 mm
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-09444-1
Verlag: Springer-Verlag New York
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
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
