Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 010, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.010 (Mi sigma10) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice

Pantelis A. Damianoua, Franco Magrib

a Department of Mathematics and Statistics, University of Cyprus, 1678, Nicosia, Cyprus
b Department of Mathematics, University of Milano Bicocca, Via Corsi 58, I 20126 Milano, Italy
Full-text PDF (198 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2005.010
Abstract: In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant–Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system on $gl(n,{\mathbb R})$. This system was obtained by reducing the space of maps from $Z_n$ to $GL(n,{\mathbb R})$ endowed with a structure of a pair of Lie-algebroids.
Keywords: full Kostant–Toda lattice; integrability; bi-Hamiltonian structure.
Received: September 22, 2005; in final form October 24, 2005; Published online October 25, 2005
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70H06
Language: English
Citation: Pantelis A. Damianou, Franco Magri, “A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice”, SIGMA, 1 (2005), 010, 12 pp.
Citation in format AMSBIB
\Bibitem{DamMag05}
\by Pantelis A. Damianou, Franco Magri
\paper A Gentle (without Chopping) Approach to the Full Kostant--Toda Lattice
\jour SIGMA
\yr 2005
\vol 1
\papernumber 010
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma10}
\crossref{https://doi.org/10.3842/SIGMA.2005.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2173597}
\zmath{https://zbmath.org/?q=an:1099.37050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600010}
Linking options:
  • https://www.mathnet.ru/eng/sigma10
  • https://www.mathnet.ru/eng/sigma/v1/p10
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:262
    Full-text PDF :54
    References:40
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024