Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group
Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147812 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group / N. Manojlović, Z. Nagy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742152235188224 |
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| author | Manojlović, N. Nagy, Z. |
| author_facet | Manojlović, N. Nagy, Z. |
| citation_txt | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group / N. Manojlović, Z. Nagy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of Eτ,η(so₃).
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| first_indexed | 2025-12-07T20:23:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147812 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:23:28Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Manojlović, N. Nagy, Z. 2019-02-16T08:38:39Z 2019-02-16T08:38:39Z 2007 Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group / N. Manojlović, Z. Nagy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 82B23; 81R12; 81R50 https://nasplib.isofts.kiev.ua/handle/123456789/147812 Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of Eτ,η(so₃). This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). We wish to thank Petr Kulish for illuminating discussions. We are also grateful to the organizers of the GEOMIS workshop in Coimbra for letting us present these results. This work was supported by the project POCI/MAT/58452/2004, in addition to that Z. Nagy benefited from the FCT grant SFRH/BPD/25310/2005. The manuscript was finished in the hospitable environment of the Solvay Institute and ULB, Brussels. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group Article published earlier |
| spellingShingle | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group Manojlović, N. Nagy, Z. |
| title | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group |
| title_full | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group |
| title_fullStr | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group |
| title_full_unstemmed | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group |
| title_short | Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group |
| title_sort | construction of the bethe state for the eτ,η(so₃) elliptic quantum group |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147812 |
| work_keys_str_mv | AT manojlovicn constructionofthebethestatefortheeτηso3ellipticquantumgroup AT nagyz constructionofthebethestatefortheeτηso3ellipticquantumgroup |