On Bethe Vectors for the XXZ Model at Roots of Unity

We give a construction of creation operators responsible for appearance of Bethe vectors with the same eigenvalues of the transfer-matrix for the inhomogeneous arbitrary spin XXZ model at roots of unity with particular quasiperiodic boundary conditions. This construction generalizes a similar one, recently obtained by K. Fabricius and B. M. McCoy, for the homogeneous six-vertex model with periodic boundary conditions. Even in the latter case, the given proofs for the main formulas are simpler than the original one. Bibliography: 6 titles.