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SIGMA 3 (2007), 004, 10 pages math.QA/0612086
https://doi.org/10.3842/SIGMA.2007.004
Contribution to the Proceedings of the Coimbra Workshop on
Geometric Aspects of Integrable Systems
Construction of the Bethe State for the Eτ,η(so3) Elliptic Quantum Group
Nenad Manojlović and Zoltán Nagy
Departamento de Matemática, FCT, Universidade do Algarve,
Campus de Gambelas, 8005-139 Faro, Portugal
Received October 31, 2006, in final form December 28, 2006; Published online January 05, 2007
Abstract
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).
Key words:
elliptic quantum group; algebraic Bethe ansatz.
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