3 papers
cond-mat.stat-mech2001
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…
math-ph1999
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…
math.DG1999
Frenet frames and Toda systems
A. V. Razumov
It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with…