34 citations · 79 across the 8 of their papers we have counts for
8 papers
Quantum groups and functional relations for arbitrary rank
A. V. Razumov
The quantum integrable systems associated with the quantum loop algebras are considered. The factorized form of the transfer ope…
Three-coloring statistical model with domain wall boundary conditions. II. Trigonometric limit
A. V. Razumov, Yu. G. Stroganov
A nontrivial trigonometric limit of the three-coloring statistical model with the domain wall boundary conditions is considered. In this limit the functional equations, constructed…
Enumerations of half-turn symmetric alternating-sign matrices of odd order
A. V. Razumov, Yu. G. Stroganov
It was shown by Kuperberg that the partition function of the square-ice model related to half-turn symmetric alternating-sign matrices of even order is the product of two similar f…
On refined enumerations of some symmetry classes of ASMs
A. V. Razumov, Yu. G. Stroganov
Using determinant representations for partition functions of the corresponding square ice models and the method proposed recently by one of the authors, we investigate refined enum…
O(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices
A. V. Razumov, Yu. G. Stroganov
This work as an extension of our recent paper where we have found a numerical evidence for the fact that the numbers of the states of the fully packed loop (FPL) model with fixed l…
Nonabelian Toda equations associated with classical Lie groups
A. V. Razumov, M. V. Saveliev, A. B. Zuevsky
The grading operators for all nonequivalent Z-gradations of classical Lie algebras are represented in the explicit block matrix form. The explicit form of the corresponding nonabel…