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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 200, Pages 156–166 (Mi znsl5102)  

This article is cited in 3 scientific papers (total in 3 papers)

Monodromy mapping and classical $r$-matrices

M. A. Semenov-Tian-Shansky
Full-text PDF (496 kB) Citations (3)
Abstract: A regularization of the Poisson brackets of the monodromy matrices based on the method of zero range potentials is proposed. Classification of the regularized brackets is reduced to the Classical Yang–Baxter identity for the square of the initial Lie algebra.
English version:
Journal of Mathematical Sciences, 1995, Volume 77, Issue 3, Pages 3236–3242
DOI: https://doi.org/10.1007/BF02364717
Bibliographic databases:
Document Type: Article
UDC: 539.12
Language: Russian
Citation: M. A. Semenov-Tian-Shansky, “Monodromy mapping and classical $r$-matrices”, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Zap. Nauchn. Sem. POMI, 200, Nauka, St. Petersburg, 1992, 156–166; J. Math. Sci., 77:3 (1995), 3236–3242
Citation in format AMSBIB
\Bibitem{Sem92}
\by M.~A.~Semenov-Tian-Shansky
\paper Monodromy mapping and classical $r$-matrices
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 200
\pages 156--166
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1192123}
\zmath{https://zbmath.org/?q=an:0836.58014|0801.58016}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 77
\issue 3
\pages 3236--3242
\crossref{https://doi.org/10.1007/BF02364717}
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  • https://www.mathnet.ru/eng/znsl/v200/p156
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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