Bethe vectors of quantum integrable models based on U_q (gl_N)

摘要

We study quantum U_q (gl_N) integrable models solvable by the nested algebraic Bethe ansatz. Different formulas are given for the right and left universal offshell nested Bethe vectors. It is shown that these formulas can be related by certain morphisms of the positive Borel subalgebra in U_q (gl_N) into analogous subalgebra in U_(q-1)(gl_N).