shop by

The Geometry of Infinite-Dimensional Groups (Paperback)

Author: Khesin, Boris

Customer Reviews   Write a Review

Be the first to review this item and earn 25 Rakuten Super Points™

Product Overview

The aim of this monograph is to give an overview of various classes of in?ni- dimensional Lie groups and their applications, mostly in Hamiltonian - chanics, ?uid dynamics, integrable systems, and complex geometry. We have chosen to present the unifying ideas of the theory by concentrating on speci?c typesandexamplesofin?nite-dimensionalLiegroups. Ofcourse,theselection of the topics is largely in?uenced by the taste of the authors, but we hope thatthisselectioniswideenoughtodescribevariousphenomenaarisinginthe geometry of in?nite-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 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. This monograph originated from advanced graduate courses and mi- courses on in?nite-dimensional groups and gauge theory given by the ?rst author at the University of Toronto, at the CIRM in Marseille, and at the Ecole Polytechnique in Paris in 2001?2004. It is based on various classical and recentresultsthathaveshapedthisnewlyemergedpartofin?nite-dimensional geometry and group theory. Our intention was to make the book concise, relatively self-contained, and useful in a graduate course. For this reason, throughout the text, we have included a large number of problems, ranging from simple exercises to open questions.


Publisher Springer Verlag
Mfg Part# 9783540852056
SKU 211019716
Format Paperback
ISBN10 3540852050
Release Date 8/5/2009
$81.41 + free shipping
Rakuten Super Points Earn 82 ($0.82) Rakuten Super Points™
What are Rakuten Super Points™?
Get rewarded when you shop! Earn 1 point per dollar spent. That's like getting cash back on every purchase. Easy to see matured points in checkout. Use points just like cash.
Learn More
Get this item for
(price with shipping)
(redeem points)
Format: Paperback
Condition: Brand New
In Stock. Usually Ships in 1 to 2 business days
Please select an option to buy
Add to Cart

What is a Marketplace and Shop Owner?
  • Our marketplace is a platform where approved third-party retailers (Shop Owners) can sell their products
  • Items are sold and shipped by Shop Owners
  • Your credit card and personal information remain secure; meets all PCI Security Standards.
  • Purchases can only be returned to the Shop Owner
  • All purchases receive Rakuten Super Points™
Promotions & Offers (1)
  •  custom promo
    5% Back* Sitewide with Promo Code Rewardme *See page for details