Geodesic
On Bethe vectors for the $XXZ$ model at roots of unity
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 251-262 
V. O. Tarasov. On Bethe vectors for the $XXZ$ model at roots of unity. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 251-262. http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a14/
@article{ZNSL_2002_291_a14,
     author = {V. O. Tarasov},
     title = {On {Bethe} vectors for the $XXZ$ model at roots of unity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {251--262},
     year = {2002},
     volume = {291},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a14/}
}
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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 the similar one, recently obtained by K. Fabricius and B. M. McCoy, for the homogeneous six-vertex model with periodic boundary conditions. Even in the last case, the given proof for the main formulas are simpler than the original one.