Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions

Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions
Author :
Publisher : American Mathematical Soc.
Total Pages : 114
Release :
ISBN-10 : 9780821825402
ISBN-13 : 0821825402
Rating : 4/5 (402 Downloads)

Book Synopsis Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions by : Percy Deift

Download or read book Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions written by Percy Deift and published by American Mathematical Soc.. This book was released on 1992 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors show how to interpret recent results of Moser and Veselov on discrete versions of a class of classical integrable systems, in terms of a loop group framework. In this framework the discrete systems appear as time-one maps of integrable Hamiltonian flows. Earlier results of Moser on isospectral deformations of rank 2 extensions of a fixed matrix, can also be incorporated into their scheme.


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