2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159533Elliptic 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 $E_{τ,η}(so_3)$ 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 $E_{τ,η}(so_3)$.This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/Quantum AlgebraMathematical PhysicsExactly Solvable and Integrable Systems82B23; 81R12; 81R50text