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＜電子ブック＞
Infinite Dimensional Groups with Applications / edited by Victor Kac
(Mathematical Sciences Research Institute Publications ; 4)

版	1st ed. 1985.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1985
本文言語	英語
大きさ	X, 380 p : online resource
冊子体	Infinite dimensional groups with applications / edited by V. Kac. ; 4
著者標目	Kac, Victor editor SpringerLink (Online service)
件　名	LCSH:Group theory FREE:Group Theory and Generalizations
一般注記	The Lie Group Structure of Diffeomorphism Groups and Invertible Fourier Integral Operators with Applications -- On Landau-Lifshitz Equation and Infinite Dimensional Groups -- Flat Manifolds and Infinite Dimensional Kähler Geometry -- Positive-Energy Representations of the Group of Diffeomorphisms of the Circle -- Instantons and Harmonic Maps -- A Coxeter Group Approach to Schubert Varieties -- Constructing Groups Associated to Infinite-Dimensional Lie Algebras -- Harish-Chandra Modules Over the Virasoro Algebra -- Rational Homotopy Theory of Flag Varieties Associated to Kac-Moody Groups -- The Two-Sided Cells of the Affine Weyl Group of Type Ãn -- Loop Groups, Grassmannians and KdV Equations -- An Adjoint Quotient for Certain Groups Attached to Kac-Moody Algebras -- Analytic and Algebraic Aspects of the Kadomtsev-Petviashvili Hierarchy from the Viewpoint of the Universal Grassmann Manifold -- Comments on Differential Invariants -- The Virasoro Algebra and the KP Hierarchy 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4612-1104-4

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