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(glN) and the quantum affine algebra Uq(glN). The results of the paper were obtained in 1998 and were used in math.QA/9905137, math.QA/0302148, math.QA/0610517.
@article{arxiv.math/0702277,
title = {Combinatorial Formulae for Nested Bethe Vectors},
author = {Vitaly Tarasov and Alexander Varchenko},
journal= {arXiv preprint arXiv:math/0702277},
year = {2013}
}