On a Trivial Family of Noncommutative Integrable Systems

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Tsiganov, A.V.
dc.date.accessioned	2019-02-19T18:59:30Z
dc.date.available	2019-02-19T18:59:30Z
dc.date.issued	2013
dc.identifier.citation	On a Trivial Family of Noncommutative Integrable Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 35 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 37J35; 53D17; 70H06
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.015
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149221
dc.description.abstract	We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems.	uk_UA
dc.description.sponsorship	We would like to thank E.G. Kalnins, W. Miller, Jr. and G. Rastelli for useful discussion on noncommutative integrable systems. The study was supported by the ministry of education and science of Russian Federation, project 07.09.2012 no. 8501, grant no. 2012-1.5-12-000-1003- 016.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On a Trivial Family of Noncommutative Integrable Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA