Combinatorial Formulae for Nested Bethe Vectors

[摘要] We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({\mathfrak{gl}}_N)$ and the quantum affine algebra $U_q(\widetilde{{\mathfrak{gl}}_N})$.

[关键词] weight functions;nested Bethe vectors;algebraic Bethe ansatz