activity
19982024
most citedSpin chains and combinatorics

215 citations · 500 across the 12 of their papers we have counts for

collaborators

12 papers

math.QA2024

Basic monodromy operator for quantum superalgebra

A. V. Razumov

We derive the explicit form of the basic monodromy operator for the quantum loop superalgebra . Two significant additional results e…

math-ph2023

On Poincaré-Birkhoff-Witt basis of quantum general linear superalgebra

A. V. Razumov

We give a detailed derivation of the commutation relations for the Poincaré--Birkhoff--Witt generators of the quantum superalgebra .

math-ph2022★ 3 cited

Khoroshkin-Tolstoy approach for quantum superalgebras

A. V. Razumov

The central object of the quantum algebraic approach to the study of quantum integrable models is the universal -matrix, which is an element of a completed tensor product of two…

math-ph2009★ 27 cited

A possible combinatorial point for XYZ-spin chain

A. V. Razumov, Yu. G. Stroganov

We formulate and discuss a number of conjectures on the ground state vectors of the XYZ-spin chains of odd length with periodic boundary conditions and a special choice of the Hami…

math-ph2008★ 14 cited

Three-coloring statistical model with domain wall boundary conditions. I. Functional equations

A. V. Razumov, Yu. G. Stroganov

In 1970 Baxter considered the statistical three-coloring lattice model for the case of toroidal boundary conditions. He used the Bethe ansatz and found the partition function of th…

math-ph2007★ 32 cited

Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta = -1/2

A. V. Razumov, Yu. G. Stroganov, P. Zinn-Justin

Integral formulae for polynomial solutions of the quantum Knizhnik-Zamolodchikov equations associated with the R-matrix of the six-vertex model are considered. It is proved that wh…