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Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group
Інший ID:
2000 Mathematics Subject Classification: 82B23; 81R12; 81R50
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
533
Завантажень:
223
Анотація:
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).
