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We define the elliptic quantum group $E_{\tau,\eta}(so_3)$ and the transfermatrix corresponding to its simplest highest weight representation. We useBethe anstaz method to construct the creation operators as polynomials of theLax matrix elements expressed through a recurrence relation. We give commoneigenvectors and eigenvalues of the family of commuting transfer matrices.Comment: 13 page

Creation operators and algebraic Bethe ansatz for the elliptic quantum groupEτ,η(so3)

Creation operators and algebraic Bethe ansatz for the elliptic quantum groupE_τ,η(so₃)