Harmonic maps, loop groups, and integrable systems
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Bibliographic Information
Harmonic maps, loop groups, and integrable systems
(London Mathematical Society student texts, 38)
Cambridge University Press, 1997
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- : pbk
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Note
Includes bibliographical references (p. [187]-192) and index
Description and Table of Contents
Description
Table of Contents
- 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.
by "Nielsen BookData"