Abstract
We reformulate nested relations between off-shell Uq( b glN) Bethe vectors as a certain equation on generating series of strings of the composed Uq(b gl N ) currents. Using inversion of the generating series we find a new type of hierarchical relations between univer- sal off-shell Bethe vectors, useful for a derivation of Bethe equation. As an example of application, we use these relations for a derivation of analytical Bethe ansatz equations (Arnaudon D. et al., Ann. Henri Poincare 7 (2006), 1217-1268, math-ph/0512037) for the parameters of universal Bethe vectors of the algebra Uq(b gl 2 ).
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