Differential Topology Infinite Dimensional Lie Algebras And Applications PDF Download
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Author | : Alexander Astashkevich |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780821820322 |
Download Differential Topology, Infinite-Dimensional Lie Algebras, and Applications Book in PDF, ePub and Kindle
This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs, and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics.
Author | : Aleksandr Astaškevič |
Publisher | : |
Total Pages | : |
Release | : 1999 |
Genre | : |
ISBN | : 9781470434052 |
Download Differential Topology, Infinite-dimensional Lie Algebras, and Applications Book in PDF, ePub and Kindle
This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics. The main topics addressed in this unique work are infinite-dimensional Lie algebras with applications (vertex operator algebras, conformal field theory, quantum integrable syst.
Author | : Victor G. Kac |
Publisher | : Springer Science & Business Media |
Total Pages | : 267 |
Release | : 2013-11-09 |
Genre | : Mathematics |
ISBN | : 1475713827 |
Download Infinite Dimensional Lie Algebras Book in PDF, ePub and Kindle
Author | : Victor Kac |
Publisher | : Springer Science & Business Media |
Total Pages | : 406 |
Release | : 1985-10-14 |
Genre | : Mathematics |
ISBN | : 9780387962160 |
Download Infinite Dimensional Groups with Applications Book in PDF, ePub and Kindle
This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D. S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M. A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V. G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L. J. Santharoubane 233 Rational Homotopy Theory of Flag S.
Author | : Andreas Kriegl |
Publisher | : American Mathematical Soc. |
Total Pages | : 631 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0821807803 |
Download The Convenient Setting of Global Analysis Book in PDF, ePub and Kindle
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
Author | : Alexander Schmeding |
Publisher | : Cambridge University Press |
Total Pages | : 284 |
Release | : 2022-12-22 |
Genre | : Mathematics |
ISBN | : 1009089307 |
Download An Introduction to Infinite-Dimensional Differential Geometry Book in PDF, ePub and Kindle
Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics covered include diffeomorphism groups, loop groups and Riemannian metrics for shape analysis. Numerous examples highlight both surprising connections between finite- and infinite-dimensional geometry, and challenges occurring solely in infinite dimensions. The geometric techniques developed are then showcased in modern applications of geometry such as geometric hydrodynamics, higher geometry in the guise of Lie groupoids, and rough path theory. With plentiful exercises, some with solutions, and worked examples, this will be indispensable for graduate students and researchers working at the intersection of functional analysis, non-linear differential equations and differential geometry. This title is also available as Open Access on Cambridge Core.
Author | : R. D. Anderson |
Publisher | : Princeton University Press |
Total Pages | : 308 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881404 |
Download Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 Book in PDF, ePub and Kindle
In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research.
Author | : D B Fuks |
Publisher | : |
Total Pages | : 352 |
Release | : 1986-12-31 |
Genre | : |
ISBN | : 9781468487664 |
Download Cohomology of Infinite-Dimensional Lie Algebras Book in PDF, ePub and Kindle
Author | : Gerard G. A. Bäuerle |
Publisher | : |
Total Pages | : |
Release | : 1990 |
Genre | : Finite element method |
ISBN | : |
Download Finite and Infinite Dimensional Lie Algebras and Applications in Physics Book in PDF, ePub and Kindle
Author | : Hideki Omori |
Publisher | : American Mathematical Soc. |
Total Pages | : 415 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780821845752 |
Download Infinite-dimensional Lie Groups Book in PDF, ePub and Kindle
This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan. The book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. The notion of a noncommutative manifold is described, and the deformation quantization of certain algebras is discussed from the viewpoint of Lie algebras. This edition is a revised version of the book of the same title published in Japanese in 1979.