Quasi-Linear Algebras and Integrability (the Heisenberg Picture)

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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dc.contributor.author	Vinet, L.
dc.contributor.author	Zhedanov, A.
dc.date.accessioned	2019-02-19T12:22:25Z
dc.date.available	2019-02-19T12:22:25Z
dc.date.issued	2008
dc.identifier.citation	Quasi-Linear Algebras and Integrability (the Heisenberg Picture) / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 29 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17B63; 17B37; 47L90
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148977
dc.description.abstract	We study Poisson and operator algebras with the ''quasi-linear property'' from the Heisenberg picture point of view. This means that there exists a set of one-parameter groups yielding an explicit expression of dynamical variables (operators) as functions of ''time'' t. We show that many algebras with nonlinear commutation relations such as the Askey-Wilson, q-Dolan-Grady and others satisfy this property. This provides one more (explicit Heisenberg evolution) interpretation of the corresponding integrable systems.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine).	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	Quasi-Linear Algebras and Integrability (the Heisenberg Picture)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA