Infinite Dimensional Groups with Applications:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1985
|
Schriftenreihe: | Mathematical Sciences Research Institute Publications
4 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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. |
Beschreibung: | 1 Online-Ressource (X, 380 p) |
ISBN: | 9781461211044 9781461270126 |
ISSN: | 0940-4740 |
DOI: | 10.1007/978-1-4612-1104-4 |
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Datensatz im Suchindex
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any_adam_object | |
author | Kac, V. |
author_facet | Kac, V. |
author_role | aut |
author_sort | Kac, V. |
author_variant | v k vk |
building | Verbundindex |
bvnumber | BV042419746 |
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dewey-full | 512.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.2 |
dewey-search | 512.2 |
dewey-sort | 3512.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-1104-4 |
format | Electronic eBook |
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spelling | Kac, V. Verfasser aut Infinite Dimensional Groups with Applications edited by V. Kac New York, NY Springer New York 1985 1 Online-Ressource (X, 380 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Sciences Research Institute Publications 4 0940-4740 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. Mathematics Group theory Group Theory and Generalizations Mathematik Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1984 Berkeley Calif. gnd-content Lie-Algebra (DE-588)4130355-6 s 2\p DE-604 Lie-Gruppe (DE-588)4035695-4 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-1104-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kac, V. Infinite Dimensional Groups with Applications Mathematics Group theory Group Theory and Generalizations Mathematik Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
subject_GND | (DE-588)4130355-6 (DE-588)4035695-4 (DE-588)1071861417 |
title | Infinite Dimensional Groups with Applications |
title_auth | Infinite Dimensional Groups with Applications |
title_exact_search | Infinite Dimensional Groups with Applications |
title_full | Infinite Dimensional Groups with Applications edited by V. Kac |
title_fullStr | Infinite Dimensional Groups with Applications edited by V. Kac |
title_full_unstemmed | Infinite Dimensional Groups with Applications edited by V. Kac |
title_short | Infinite Dimensional Groups with Applications |
title_sort | infinite dimensional groups with applications |
topic | Mathematics Group theory Group Theory and Generalizations Mathematik Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
topic_facet | Mathematics Group theory Group Theory and Generalizations Mathematik Lie-Algebra Lie-Gruppe Konferenzschrift 1984 Berkeley Calif. |
url | https://doi.org/10.1007/978-1-4612-1104-4 |
work_keys_str_mv | AT kacv infinitedimensionalgroupswithapplications |