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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 209, Pages 137–149 (Mi znsl5848)  
This article is cited in 1 scientific paper (total in 1 paper)

Tetrahedron equation and the algebraic geometry

I. G. Korepanov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (455 kB) Citations (1)
Abstract: The tetrahedron equation arises as a generalization of the famous Yang–Baxter equation to the $2+1$-dimensional quantum field theory and the $3$-dimensionaI statistical mechanics. Very little is still known about its solutions. Here a systematical method is described that does produce nontrivial solutions to the tetrahedron equation with spin-like variables on the links. The essence of the method is the use of the so-called tetrahedral Zamolodchikov algebras. Bibliography: 12 titles.
Received: 25.07.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 1, Pages 85–92
DOI: https://doi.org/10.1007/BF02398463
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: I. G. Korepanov, “Tetrahedron equation and the algebraic geometry”, Questions of quantum field theory and statistical physics. Part 12, Zap. Nauchn. Sem. POMI, 209, Nauka, St. Petersburg, 1994, 137–149; J. Math. Sci., 83:1 (1997), 85–92
Citation in format AMSBIB
\Bibitem{Kor94}
\by I.~G.~Korepanov
\paper Tetrahedron equation and the algebraic geometry
\inbook Questions of quantum field theory and statistical physics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 209
\pages 137--149
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5848}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1328638}
\zmath{https://zbmath.org/?q=an:0848.17010|0868.17006}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 1
\pages 85--92
\crossref{https://doi.org/10.1007/BF02398463}
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  • https://www.mathnet.ru/eng/znsl/v209/p137
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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