31 citations · 101 across the 7 of their papers we have counts for
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Generating Series for Nested Bethe Vectors
Sergey Khoroshkin, Stanislav Pakuliak
We reformulate nested relations between off-shell Bethe vectors as a certain equation on generating series of strings of the composed $U_q(\widehat…
SOS model partition function and the elliptic weight functions
S. Pakuliak, V. Rubtsov, A. Silantyev
We generalize a recent observation [arXiv:math/0610433] that the partition function of the 6-vertex model with domain-wall boundary conditions can be obtained by computing the proj…
On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
A. Oskin, S. Pakuliak, A. Silantyev
We continue investigation of the universal weight function for the quantum affine algebra started in arXiv:math/0610517 and arXiv:0711.2819. We obtain…
A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
S. Khoroshkin, S. Pakuliak
We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra app…
Weight functions and Drinfeld currents
Benjamin Enriquez, Sergey Khoroshkin, Stanislav Pakuliak
A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In r…