Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 3 (2007), 004, 10 pages      math.QA/0612086      http://dx.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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