Factorization and integrable systems : summer school in Faro, Portugal, September 2000

著者

書誌事項

Factorization and integrable systems : summer school in Faro, Portugal, September 2000

Israel Gohberg, Nenad Manojlovic, António Ferreira dos Santos, editors

(Operator theory : advances and applications, v. 141)

Birkhäuser Verlag, c2003

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.

目次

An Overview of Matrix Factorization Theory and Operator Applications.- 0 Introduction.- 1 General theorems.- 2 Factorization in decomposing Banach algebras.- 3 Generalized Lp factorization.- 4 State space method.- References.- Matrix Riemann-Hilbert Problems Related to Branched Coverings of ??1.- 1 Introduction.- 2 Riemann-Hilbert problem with quasi-permutation monodromies and algebraic curves.- 3 Riemann surfaces. Rauch variational formulas.- 4 Solution of Riemann-Hilbert problems with quasi-permutation monodromies and Szegoe kernel.- 5 Isomonodromic tau-function and Cauchy-Riemann determinants.- Acknowledgements.- References.- Quantum Groups and Integrable Models.- 1 Introduction.- 2 Algebraic Bethe Ansatz and QISM.- 3 Yang-Baxter equation.- 4 Thermodynamic limits.- 5 Conclusion.- Acknowledgements.- References.- Integrable Systems and Factorization Problems.- 1 Introduction.- 2 A few preliminaries: Poisson brackets, coadjoint orbits, etc..- 3 Classical r-matrices and Lax equations.- 4 Classical Yang-Baxter identity.- 5 A finite-dimensional example.- 6 Loop algebras and the Riemann problem.- 7 More examples.- 8 Zero curvature equations.- 9 Difference equations and Poisson-Lie groups.- Acknowledgements.- References.- Programme of the Summer School on Factorization and Integrable Systems.

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詳細情報

  • NII書誌ID(NCID)
    BA62248279
  • ISBN
    • 3764369388
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Basel
  • ページ数/冊数
    vi, 218 p.
  • 大きさ
    24 cm
  • 親書誌ID
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