Harmonic Maps, Loop Groups, and Integrable Systems: Acknowledgements
Harmonic Maps, Loop Groups, and Integrable Systems: Acknowledgements
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DOI：
10.1017/cbo9781139174848
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发表时间：
1997-01
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影响因子：
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通讯作者：
M. Guest
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文献类型：
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作者：
M. Guest
前言第一部分：一维可积系统：1.李群2.李代数3.因式分解与齐次空间4.哈密尔顿方程与齐次空间5.Lax方程6.Adler-Kostant-Symes 7.Adler-Kostant-Symes(续)8.一维Lax方程结语第二部分：零曲率方程10.零曲率方程的一些解11.环群与循环代数12.因式分解与齐次空间13.二维Toda格14.t-函数与Bruhat 15二维Toda格解16.从C到Lie群G的调和映射17.从C到Lie群的调和映射(续)18.从C到对称空间的调和映射19.从C到对称空间的调和映射(续)20.应用：从S2到CPn的调和映射原始地图22。调和映射的魏尔斯特拉斯公式第三部分：一维和二维可积系统：23.从2个Lax方程到1个零曲率方程24.有限类型25的调和映射。应用：从T2到S2的调和映射26。结语参考文献索引。
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.