# eBook The Geometry of Infinite-Dimensional Groups download

## by Boris Khesin,Robert Wendt

**ISBN:**3540852050

**Author:**Boris Khesin,Robert Wendt

**Publisher:**Springer; 2009 edition (April 23, 2009)

**Language:**English

**Pages:**304

**ePub:**1108 kb

**Fb2:**1884 kb

**Rating:**4.3

**Other formats:**mobi lit rtf azw

**Category:**Math Sciences

**Subcategory:**Mathematics

Boris Khesin, Robert Wendt. This monograph gives an overview of various classes of Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry.

Boris Khesin, Robert Wendt. While groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces.

Authors: Khesin, Boris, Wendt, Robert. Lie Groups: Their Geometry, Orbits, and Dynamical Systems. The book itself starts with (possibly ) Lie groups and their algebras, defines the adjoint and co-adjoint representations, and then proceeds to central extension. .there are ample references to the enormous bibliography, which contains 393 listings, so the interested reader can easily delve further if he or she wishes.

by Boris Khesin (Author), Robert Wendt (Author). ISBN-13: 978-3540852056. The groups discussed here can be divided roughly into three classe.The main part of the book consists in the treatment of these groups, including their geometry, their coad-joint orbits, and their relationship to the Hamiltonian structures. Springer Science & Business Media, 28 сент. The text includes many exercises and open questions. He is also interested in mathematical finance and 'real world' applications of financial modelling.

Автор: Boris Khesin; Robert Wendt Название: The Geometry of.The analytic representation theory of Lie groups is still very much underdeveloped.

2008 Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. This book provides the methods needed to solve one of mathematics& oldest unsolved problems - the Poincare Conjecture. Springer Science & Business Media, Sep 28, 2008 - Mathematics - 304 pages. Bibliographic information.

Boris A. Khesin (author), Robert Wendt (author). The book itself starts with (possibly ) Lie groups and their algebras, defines the adjoint and co-adjoint representations, and then proceeds to central extensions. The book may be most useful as a way to get an overview of the subject. or as a window through which to glimpse any one of the subjects. David G. Ebin, Bulletin of the American Mathematical Society, January, 2011)

Personal Name: Khesin, Boris A. Publication, Distribution, et. Personal Name: Wendt, Robert. Uniform Title: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd.

Personal Name: Khesin, Boris A. Berlin. 51. Rubrics: Infinite dimensional Lie algebras Lie groups. Khesin, Robert Wendt. Be the first to ask a question about The Geometry of Groups. Lists with This Book. This book is not yet featured on Listopia. This book can be thought of as complementary to the existing more algebraic treatments, in particular, those covering the str- ture and representation theory of in?nite-dimensional Lie algebras, as well as to more analytic ones developing calculus on in?nite-dimensional manifolds.

Together with Vladimir Arnold he is the author of the monograph on "Topological methods in hydrodynamics", which has become a standard reference in mathematical fluid dynamics.

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.