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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 104, Number 1, Pages 144–157 (Mi tmf1330)  

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

Intertwining operators and Hirota bilinear equations

S. M. Kharcheva, S. M. Khoroshkinab, D. R. Lebedevab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
References:
Abstract: We give an interpretation of Hirota relations for $\tau$-functions of hierarchies of integrable equations in terms of intertwining operators. This gives possibility to generalize the relations to the case of finite-dimensional Lie algebras and quantized universal enveloping algebras. An example of $U_q(sl_2)$ is presented.
English version:
Theoretical and Mathematical Physics, 1995, Volume 104, Issue 1, Pages 879–891
DOI: https://doi.org/10.1007/BF02066660
Bibliographic databases:
Language: English
Citation: S. M. Kharchev, S. M. Khoroshkin, D. R. Lebedev, “Intertwining operators and Hirota bilinear equations”, TMF, 104:1 (1995), 144–157; Theoret. and Math. Phys., 104:1 (1995), 879–891
Citation in format AMSBIB
\Bibitem{KhaKhoLeb95}
\by S.~M.~Kharchev, S.~M.~Khoroshkin, D.~R.~Lebedev
\paper Intertwining operators and Hirota bilinear equations
\jour TMF
\yr 1995
\vol 104
\issue 1
\pages 144--157
\mathnet{http://mi.mathnet.ru/tmf1330}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1602811}
\zmath{https://zbmath.org/?q=an:0860.17016}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 104
\issue 1
\pages 879--891
\crossref{https://doi.org/10.1007/BF02066660}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX90500011}
Linking options:
  • https://www.mathnet.ru/eng/tmf1330
  • https://www.mathnet.ru/eng/tmf/v104/i1/p144
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:308
    Full-text PDF :146
    References:45
    First page:1
     
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