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19962021
most citedEnumerations of half-turn symmetric alternating-sign matrices of odd order

34 citations · 79 across the 8 of their papers we have counts for

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math-ph2021★ 5 cited

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…

math-ph2008★ 2 cited

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…

math-ph2005★ 34 cited

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…

math-ph2003★ 23 cited

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…

math-ph1999★ 7 cited

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…