Factorization and Integrable Systems: Summer School in Faro, Portugal, September 2000: 141 - Rilegato

Manojlovic, Nenad; Dos Santos, Antonio Ferreira

 
9783764369385: Factorization and Integrable Systems: Summer School in Faro, Portugal, September 2000: 141
Rilegato
ISBN 10: 3764369388 ISBN 13: 9783764369385
Casa editrice: Birkhauser, 2003

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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 Szegö 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.

Product Description

Rare Book

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2003
Lingua
Inglese
ISBN 10 
3764369388
ISBN 13 
9783764369385
Rilegatura
Copertina rigida
Numero di pagine
219
Redattore
Gohberg Israel
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Altre edizioni note dello stesso titolo

9783034894005: Factorization and Integrable Systems: Summer School in Faro, Portugal, September 2000: 141

Edizione in evidenza

ISBN 10:  3034894007 ISBN 13:  9783034894005
Casa editrice: Birkhäuser, 2012
Brossura