The Geometry of Infinite-Dimensional Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Infinite-Dimensional Groups write by Boris Khesin. This book was released on 2008-09-28. The Geometry of Infinite-Dimensional Groups available in PDF, EPUB and Kindle. 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.
Infinite Dimensional Groups with Applications
Infinite Dimensional Groups with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Groups with Applications write by Victor Kac. This book was released on 1985-10-14. Infinite Dimensional Groups with Applications available 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.
Vladimir I. Arnold - Collected Works
Vladimir I. Arnold - Collected Works - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vladimir I. Arnold - Collected Works write by Vladimir I. Arnold. This book was released on 2013-12-11. Vladimir I. Arnold - Collected Works available in PDF, EPUB and Kindle. Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.
Infinite Dimensional Kähler Manifolds
Infinite Dimensional Kähler Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Kähler Manifolds write by Alan Huckleberry. This book was released on 2012-12-06. Infinite Dimensional Kähler Manifolds available in PDF, EPUB and Kindle. 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 study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.
Infinite Dimensional Lie Algebras
Infinite Dimensional Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Lie Algebras write by Victor G. Kac. This book was released on 2013-11-09. Infinite Dimensional Lie Algebras available in PDF, EPUB and Kindle.
