Harmonic maps, loop groups, and integrable systems

Harmonic maps, loop groups, and integrable systems

by Guest, Martin A.

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Title Statements

  • Full title :Harmonic maps, loop groups, and integrable systems / Martin A. Guest.

Edition Statements

  • Publication Date:1997.

Publication Statements

The Physical Object

  • Description:xiv, 194 s. ; : 24 cm.

Edition Identifiers

  • ISBN:0521580854, 9780521580854, 0521589320, 9780521589321
  • oclc:ocn924691211
  • Dewey Decimal:514.74

Table of Contents

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 homogenous spaces -- 13. The two-dimensional Toda lattice -- 14. [tau]-functions and the Bruhat decomposition -- 15. Solutions of the two-dimensional Toda lattice -- Harmonic maps from C to a Lie group -- 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…

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Subjects

Differential equations Harmonic maps Loops (Group theory)

Writers

Guest, Martin A.

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