Details

Autor(en) / Beteiligte

• Khesin, Boris
• Wendt, Robert

Titel

The Geometry of Infinite-Dimensional Groups

Ist Teil von

• The Geometry of Infinite-Dimensional Groups (A Series of Modern Surveys in Mathematics Volume 51), 2009, Vol.51, p.310-310

Erscheinungsjahr

2009

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The aim of this monograph is to give an overview of various classes of infinite dimensional Lie groups and their applications, mostly in Hamiltonian mechanics, fluid dynamics, integrable systems, and complex geometry. We have chosen to present the unifying ideas of the theory by concentrating on specific types and examples of infinite-dimensional Lie groups. Of course, the selection of the topics is largely influenced by the taste of the authors, but we hope that this selection is wide enough to describe various phenomena arising in the geometry of infinite-dimensional Lie groups and to convince the reader that they are appealing objects to study from both purely mathematical and more applied points of view. This book can be thought of as complementary to the existing more algebraic treatments, in particular, those covering the structure and representation theory of infinite-dimensional Lie algebras, as well as to more analytic ones developing calculus on infinite-dimensional manifolds.