Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems
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 s...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148625 |
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| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862738702062583808 |
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| author | Talalaev, D.V. |
| author_facet | Talalaev, D.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T20:05:17Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148625 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:05:17Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
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| spelling | Talalaev, D.V. 2019-02-18T16:44:46Z 2019-02-18T16:44:46Z 2017 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. 1815-0659 2010 Mathematics Subject Classification: 16T25 DOI:10.3842/SIGMA.2017.031 https://nasplib.isofts.kiev.ua/handle/123456789/148625 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems Article published earlier |
| spellingShingle | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems Talalaev, D.V. |
| title | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems |
| title_full | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems |
| title_fullStr | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems |
| title_full_unstemmed | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems |
| title_short | Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems |
| title_sort | zamolodchikov tetrahedral equation and higher hamiltonians of 2d quantum integrable systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148625 |
| work_keys_str_mv | AT talalaevdv zamolodchikovtetrahedralequationandhigherhamiltoniansof2dquantumintegrablesystems |