The Geometry of Infinite-Dimensional Groups

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.

Author
Publisher Springer Science & Business Media
Release Date
ISBN 3540772634
Pages 304 pages
Rating 4/5 (37 users)

More Books:

The Geometry of Infinite-Dimensional Groups
Language: en
Pages: 304
Authors: Boris Khesin
Categories: Mathematics
Type: BOOK - Published: 2008-09-28 - Publisher: Springer Science & Business Media

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrab
Infinite Dimensional Kähler Manifolds
Language: en
Pages: 375
Authors: Alan Huckleberry
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the stud
Infinite Dimensional Groups with Applications
Language: en
Pages: 380
Authors: Victor Kac
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, C
Developments and Trends in Infinite-Dimensional Lie Theory
Language: en
Pages: 492
Authors: Karl-Hermann Neeb
Categories: Mathematics
Type: BOOK - Published: 2010-10-17 - Publisher: Springer Science & Business Media

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core ar
Developments and Trends in Infinite-dimensional Lie Theory: Geometry of infinite-dimensional lie (transformation) groups
Language: en
Pages: 492
Authors:
Categories: Electronic books
Type: BOOK - Published: 2011 - Publisher:

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core ar
Infinite Dimensional Lie Groups in Geometry and Representation Theory
Language: en
Pages: 176
Authors: Augustin Banyaga
Categories: Science
Type: BOOK - Published: 2002-07-12 - Publisher: World Scientific

This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents
Categories of Symmetries and Infinite-dimensional Groups
Language: en
Pages: 417
Authors: Ju. A. Neretin
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: Oxford University Press

For mathematicians working in group theory, the study of the many infinite-dimensional groups has been carried out in an individual and non-coherent way. For th
Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups
Language: en
Pages: 357
Authors:
Categories:
Type: BOOK - Published: 2002 - Publisher:

Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium
Language: en
Pages: 408
Authors: Marion Jean
Categories:
Type: BOOK - Published: 1998-10-30 - Publisher: World Scientific

The book provides a comprehensive “map” of China's financial markets and institutions based on objective data. The book uses the mentioned data to analyze t
Infinite Dimensional Groups with Applications
Language: en
Pages: 396
Authors: Victor Kac
Categories:
Type: BOOK - Published: 1985-10-14 - Publisher: