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Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors

Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors

Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the -invariant quantum integrable models are calculated. These actions are used to describe recursions for the highest coefficients in the sum formula for the scalar product. For simplicity, detailed proofs are given for the case. The results for …