A dynamical system connected with the inhomogeneous six-vertex model. II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description
Dynamical System;
Equivalence Class;
Discrete Time;
Specific Form;
Algebraic Geometry;
D O I:
10.1007/BF02364987
中图分类号:
学科分类号:
摘要:
The present paper continues partI (Zap. Nauchn. Semin. POMI,215,178–196 (1994)), in which a dynamical system in discrete time generazed by a birational transformation acting on the equivalence classes of matrices of specific form is introduced. We study reductions of this system on orthogonal and symmetric matrices by means of algebraic geometry. Bibliography:4 titles.