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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 92–108 (Mi znsl1307)  
Symmetries of the 4-matrices Schlesinger system

M. V. Babich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (232 kB)
Abstract: All types of symmetries, such as a permutation of parameters, Schlesinger and Okamoto transformations are considered. The new form of Schlesinger system and the action of modular group on the corresponding linear system are studied, the geometrical meaning of the Okamoto transformation is discussed.
Received: 22.03.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 1935–1944
DOI: https://doi.org/10.1023/A:1022635409760
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. V. Babich, “Symmetries of the 4-matrices Schlesinger system”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 92–108; J. Math. Sci. (N. Y.), 115:1 (2003), 1935–1944
Citation in format AMSBIB
\Bibitem{Bab00}
\by M.~V.~Babich
\paper Symmetries of the 4-matrices Schlesinger system
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 92--108
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805854}
\zmath{https://zbmath.org/?q=an:1043.34006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 1935--1944
\crossref{https://doi.org/10.1023/A:1022635409760}
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