Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum 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, 2017, том 13
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dc.contributor.author	Talalaev, D.V.
dc.date.accessioned	2019-02-18T16:44:46Z
dc.date.available	2019-02-18T16:44:46Z
dc.date.issued	2017
dc.identifier.citation	Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems / D.V. Talalaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 16T25
dc.identifier.other	DOI:10.3842/SIGMA.2017.031
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148625
dc.description.abstract	The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. Bazhanov and S.M. Sergeev the approach presented here is effective for generic solutions of the tetrahedral equation without spectral parameter. In a sense, this result is a two-dimensional generalization of the method by J.-M. Maillet. The work is a part of the project relating the tetrahedral equation with the quasi-invariants of 2-knots.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Recent Advances in Quantum Integrable Systems. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2016.html. The work was partially supported by the RFBR grant of Russian Foundation of Basic Research 17-01-00366A, grant of the support of scientific schools 4833.2014.1, and the grant of the Dynasty Foundation. I would like to thank the referees for careful reading of the manuscript and constructive remarks on the material exposition.	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	Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA