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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 199, Pages 51–70 (Mi znsl5079)  
This article is cited in 3 scientific papers (total in 3 papers)

Non-commutative differential geometry related to the Yang–Baxter equation

D. Gurevich, A. Radul, V. Rubzov
Full-text PDF (925 kB) Citations (3)
Abstract: An analogue of the differential calculus associated with a unitary solution of quantum Yang–Baxter equation is constructed. An example of a ring sheaf is given in which local solutions of the quantum Yang–Baxter equation exist but not global ones.
English version:
Journal of Mathematical Sciences, 1995, Volume 77, Issue 2, Pages 3051–3062
DOI: https://doi.org/10.1007/BF02367232
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: D. Gurevich, A. Radul, V. Rubzov, “Non-commutative differential geometry related to the Yang–Baxter equation”, Questions of quantum field theory and statistical physics. Part 11, Zap. Nauchn. Sem. POMI, 199, Nauka, St. Petersburg, 1992, 51–70; J. Math. Sci., 77:2 (1995), 3051–3062
Citation in format AMSBIB
\Bibitem{GurRadRub92}
\by D.~Gurevich, A.~Radul, V.~Rubzov
\paper Non-commutative differential geometry related to the Yang--Baxter equation
\inbook Questions of quantum field theory and statistical physics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 199
\pages 51--70
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5079}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1168672}
\zmath{https://zbmath.org/?q=an:1044.58501}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 77
\issue 2
\pages 3051--3062
\crossref{https://doi.org/10.1007/BF02367232}
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    • 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
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