142 citations · 1.3k across the 62 of their papers we have counts for
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nlin.SI2002★ 1 cited
Spectral curves and parameterizations of a discrete integrable 3-dimensional model
S. Pakuliak, S. Sergeev
We consider a discrete classical integrable model on the 3-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of the different…
nlin.SI2002★ 10 cited
Explicit Free Parameterization of the Modified Tetrahedron Equation
G. von Gehlen, S. Pakuliak, S. Sergeev
The Modified Tetrahedron Equation (MTE) with affine Weyl quantum variables at N-th root of unity is solved by a rational mapping operator which is obtained from the solution of a l…
nlin.SI2002★ 5 cited
Quantum relativistic Toda chain at root of unity: isospectrality, modified Q-operator and functional Bethe ansatz
S. Pakuliak, S. Sergeev
We investigate an N-state spin model called quantum relativistic Toda chain and based on the unitary finite dimensional representations of the Weyl algebra with q being N-th primit…