Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic Maps, Loop Groups, and Integrable Systems

by Guest, Martin A.

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University-level introduction that leads to topics of current research in the theory of harmonic maps.

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Title Statements

  • Full title :Harmonic Maps, Loop Groups, and Integrable Systems.

Summary

University-level introduction that leads to topics of current research in the theory of harmonic maps.

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Edition Statements

  • Publication Date:1997.

Publication Statements

The Physical Object

  • Description:1 online resource (212 pages)

Edition Identifiers

  • ISBN:9781107095205, 1107095204, 9780521589321, 0521589320, 9780521580854, 0521580854, 9781139174848, 1139174843
  • oclc:ocn845253394
  • LC Classification:QA614.73 .G84 1997
  • Dewey Decimal:514/.74

Table of Contents

Cover -- Series Page -- Title -- Copyright -- Contents -- Preface -- Acknowledgements -- Part I: One-dimensional integrable systems -- Chapter 1 Lie Groups -- I. Definitions and examples. -- II. The exponential map. -- Bibliographical comments. -- Chapter 2 Lie Algebras -- I. Definitions and examples. -- II. The adjoint representation. -- Bibliographical comments. -- Chapter 3 Factorizations and homogeneous spaces -- I. Decomposition of Lie groups. -- II. Homogeneous spaces. -- Bibliographical comments for Chapters 1-3. -- Chapter 4 Hamilton's equations and Hamiltonian systems.

I. Hamilton's equations. -- II. Example: A height function on an Ad-orbit. -- Bibliographical comments. -- Chapter 5 Lax equations -- I. Flows on adjoint orbits. -- II. Example: The Toda lattice. -- Bibliographical comments. -- Chapter 6 Adler-Kostant-Symes -- 1. Lie algebmic coordinates -- 2. The Hamiltonian function -- 3. The phase space M -- 3. The phase space M -- Bibliographical comments. -- Chapter 7 Adler-Kostant-Symes (continued) -- I. The generalized Toda lattice. -- II. Integrals of motion, commuting Hamiltonians. -- Bibliographical comments.

Chapter 8 Concluding remarks on one-dimensional Lax e…

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Subjects

Applications harmoniques Développement durable Differential equations Équations différentielles Harmonic maps Lacets (Théorie des groupes) Loops (Group theory) sustainable development

Writers

Guest, Martin A.

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