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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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148625 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1486252019-02-19T01:29:20Z Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems Talalaev, D.V. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148625 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Talalaev, D.V. |
| spellingShingle |
Talalaev, D.V. Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Talalaev, D.V. |
| author_sort |
Talalaev, D.V. |
| title |
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_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_sort |
zamolodchikov tetrahedral equation and higher hamiltonians of 2d quantum integrable systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148625 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:30:16Z |
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2023-05-20T17:30:16Z |
| _version_ |
1796153450099113984 |