Abstract
We consider the XXX-type and Gaudin quantum integrable models associated with the Liealgebra . The models are defined on a tensor product of irreducible -modules. For each model, there existN one-parameter families of commuting operators on , called the transfer matrices. We show that the Bethe vectors for these models, given bythe algebraic nested Bethe ansatz, are eigenvectors of higher transfer matrices and computethe corresponding eigenvalues.
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