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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 225–239 (Mi znsl4445)  
A dynamical system connected with the inhomogeneous six-vertex model. II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description

I. G. Korepanov

Chelyabinsk State Technical University
Full-text PDF (625 kB)
Abstract: 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.
Received: 14.11.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 255–263
DOI: https://doi.org/10.1007/BF02364987
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. G. Korepanov, “A dynamical system connected with the inhomogeneous six-vertex model. II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 225–239; J. Math. Sci. (New York), 88:2 (1998), 255–263
Citation in format AMSBIB
\Bibitem{Kor95}
\by I.~G.~Korepanov
\paper A dynamical system connected with the inhomogeneous six-vertex model.~II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 225--239
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364852}
\zmath{https://zbmath.org/?q=an:0970.37046}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 255--263
\crossref{https://doi.org/10.1007/BF02364987}
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