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Cover: 9780521589321 | Harmonic Maps, Loop Groups, and Integrable Systems | Martin A. Guest
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Harmonic Maps, Loop Groups, and Integrable Systems
Taschenbuch von Martin A. Guest
Sprache: Englisch

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Beschreibung
University-level introduction that leads to topics of current research in the theory of harmonic maps.
University-level introduction that leads to topics of current research in the theory of harmonic maps.
Inhaltsverzeichnis
Preface; Acknowledgements; Part I. One-Dimensional Integrable Systems: 1. Lie groups; 2. Lie algebras; 3. Factorizations and homogeneous spaces; 4. Hamilton's equations and Hamiltonian systems; 5. Lax equations; 6. Adler-Kostant-Symes; 7. Adler-Kostant-Symes (continued); 8. Concluding remarks on one-dimensional Lax equations; Part II. Two-Dimensional Integrable Systems: 9. Zero-curvature equations; 10. Some solutions of zero-curvature equations; 11. Loop groups and loop algebras; 12. Factorizations and homogeneous spaces; 13. The two-dimensional Toda lattice; 14. T-functions and the Bruhat decomposition; 15. Solutions of the two-dimensional Toda lattice; 16. Harmonic maps from C to a Lie group G; 17. Harmonic maps from C to a Lie group (continued); 18. Harmonic maps from C to a symmetric space; 19. Harmonic maps from C to a symmetric space (continued); 20. Application: harmonic maps from S2 to CPn; 21. Primitive maps; 22. Weierstrass formulae for harmonic maps; Part III. One-Dimensional and Two-Dimensional Integrable Systems: 23. From 2 Lax equations to 1 zero-curvature equation; 24. Harmonic maps of finite type; 25. Application: harmonic maps from T2 to S2; 26. Epilogue; References; Index.
Details
Erscheinungsjahr: 2007
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521589321
ISBN-10: 0521589320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Guest, Martin A.
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 13 mm
Von/Mit: Martin A. Guest
Erscheinungsdatum: 25.10.2007
Gewicht: 0,352 kg
Artikel-ID: 106867841
Inhaltsverzeichnis
Preface; Acknowledgements; Part I. One-Dimensional Integrable Systems: 1. Lie groups; 2. Lie algebras; 3. Factorizations and homogeneous spaces; 4. Hamilton's equations and Hamiltonian systems; 5. Lax equations; 6. Adler-Kostant-Symes; 7. Adler-Kostant-Symes (continued); 8. Concluding remarks on one-dimensional Lax equations; Part II. Two-Dimensional Integrable Systems: 9. Zero-curvature equations; 10. Some solutions of zero-curvature equations; 11. Loop groups and loop algebras; 12. Factorizations and homogeneous spaces; 13. The two-dimensional Toda lattice; 14. T-functions and the Bruhat decomposition; 15. Solutions of the two-dimensional Toda lattice; 16. Harmonic maps from C to a Lie group G; 17. Harmonic maps from C to a Lie group (continued); 18. Harmonic maps from C to a symmetric space; 19. Harmonic maps from C to a symmetric space (continued); 20. Application: harmonic maps from S2 to CPn; 21. Primitive maps; 22. Weierstrass formulae for harmonic maps; Part III. One-Dimensional and Two-Dimensional Integrable Systems: 23. From 2 Lax equations to 1 zero-curvature equation; 24. Harmonic maps of finite type; 25. Application: harmonic maps from T2 to S2; 26. Epilogue; References; Index.
Details
Erscheinungsjahr: 2007
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521589321
ISBN-10: 0521589320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Guest, Martin A.
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 13 mm
Von/Mit: Martin A. Guest
Erscheinungsdatum: 25.10.2007
Gewicht: 0,352 kg
Artikel-ID: 106867841
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