Geodesic
A dynamical system connected with the inhomogeneous six-vertex model.~II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 225-239

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The present paper continues part I (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. 
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     author = {I. G. Korepanov},
     title = {A dynamical system connected with the inhomogeneous six-vertex {model.~II.} {Evolution} of orthogonal and symplectic matrices: {An} algebraic-geometric description},
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I. G. Korepanov. A dynamical system connected with the inhomogeneous six-vertex model.~II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 225-239. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a17/