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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 292–307 (Mi znsl1320)  

This article is cited in 5 scientific papers (total in 5 papers)

Quantum matrices of coefficients of a discrete linear problem

S. M. Sergeev

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Full-text PDF (200 kB) Citations (5)
Abstract: Some of the most general properties of the quantum matrices is discussed. These matrices of coefficients of the quantum discrete auxiliary linear problem for three-dimensional integrable models. An universal functional equation for the quantum determinant is obtained in the case of a finite-dimensional representation of a local Weyl algebra.
Received: 10.01.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2049–2057
DOI: https://doi.org/10.1023/A:1022612232050
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: S. M. Sergeev, “Quantum matrices of coefficients of a discrete linear problem”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 292–307; J. Math. Sci. (N. Y.), 115:1 (2003), 2049–2057
Citation in format AMSBIB
\Bibitem{Ser00}
\by S.~M.~Sergeev
\paper Quantum matrices of coefficients of a discrete linear problem
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 292--307
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1320}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805866}
\zmath{https://zbmath.org/?q=an:1029.81036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2049--2057
\crossref{https://doi.org/10.1023/A:1022612232050}
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  • https://www.mathnet.ru/eng/znsl/v269/p292
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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