Harmonic maps, loop groups, and integrable systems / Martin A. Guest.
Series London Mathematical Society student texts ; 38Editor: Cambridge ; New York : Cambridge University Press, 1997Descripción: xiii, 194 p. ; 24 cmISBN: 0521580854; 0521589320 (pbk.)Tema(s): Harmonic maps | Loops (Group theory) | Differential equationsOtra clasificación: 58E20 22E67 37J35 37K10 37-02 Recursos en línea: Publisher description | Table of contentsPreface vii -- Acknowledgements xiv -- Part I -- One-dimensional integrable systems -- 1 Lie groups [2] -- 2 Lie algebras [6] -- 3 Factorizations and homogeneous spaces [12] -- 4 Hamilton’s equations and Hamiltonian systems [18] -- 5 Lax equations [24] -- 6 Adler-Kostant-Symes [31] -- 7 Adler-Kostant-Symes (continued) [37] -- 8 Concluding remarks on one-dimensional Lax equations [43] -- Part II -- Two-dimensional integrable systems -- 9 Zero-curvature equations [54] -- 10 Some solutions of zero-curvature equations [59] -- 11 Loop groups and loop algebras [64] -- 12 Factorizations and homogeneous spaces [68] -- 13 The two-dimensional Toda lattice [77] -- 14 r-functions and the Bruhat decomposition [85] -- 15 Solutions of the two-dimensional Toda lattice [94] -- 16 Harmonic maps from C to a Lie group [98] -- 17 Harmonic maps from C to a Lie group (continued) [105] -- 18 Harmonic maps from C to a symmetric space [115] -- 19 Harmonic maps from C to a symmetric space (continued) [120] -- 20 Application: Harmonic maps from S2 to CPn [126] -- 21 Primitive maps [136] -- 22 Weierstrass formulae for harmonic maps [146] -- Part III -- One-dimensional and two-dimensional integrable systems [158] -- 23 From 2 Lax equations to 1 zero-curvature equation [162] -- 24 Harmonic maps of finite type [171] -- 25 Application: Harmonic maps from T2 S2 [178] -- 26 Epilogue -- References [187] -- Index [193] --
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Libros
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Instituto de Matemática, CONICET-UNS | Últimas adquisiciones | 58 G936 (Browse shelf) | Available | A-9399 |
Includes bibliographical references (p. [187]-192) and index.
Preface vii --
Acknowledgements xiv --
Part I --
One-dimensional integrable systems --
1 Lie groups [2] --
2 Lie algebras [6] --
3 Factorizations and homogeneous spaces [12] --
4 Hamilton’s equations and Hamiltonian systems [18] --
5 Lax equations [24] --
6 Adler-Kostant-Symes [31] --
7 Adler-Kostant-Symes (continued) [37] --
8 Concluding remarks on one-dimensional Lax equations [43] --
Part II --
Two-dimensional integrable systems --
9 Zero-curvature equations [54] --
10 Some solutions of zero-curvature equations [59] --
11 Loop groups and loop algebras [64] --
12 Factorizations and homogeneous spaces [68] --
13 The two-dimensional Toda lattice [77] --
14 r-functions and the Bruhat decomposition [85] --
15 Solutions of the two-dimensional Toda lattice [94] --
16 Harmonic maps from C to a Lie group [98] --
17 Harmonic maps from C to a Lie group (continued) [105] --
18 Harmonic maps from C to a symmetric space [115] --
19 Harmonic maps from C to a symmetric space (continued) [120] --
20 Application: Harmonic maps from S2 to CPn [126] --
21 Primitive maps [136] --
22 Weierstrass formulae for harmonic maps [146] --
Part III --
One-dimensional and two-dimensional integrable systems [158] --
23 From 2 Lax equations to 1 zero-curvature equation [162] --
24 Harmonic maps of finite type [171] --
25 Application: Harmonic maps from T2 S2 [178] --
26 Epilogue --
References [187] --
Index [193] --
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