Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 370–377
DOI: https://doi.org/10.4213/tmf195 (Mi tmf195) 		 
$Q$-Operator and the Drinfeld Equation

A. A. Belavin, R. A. Usmanov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (192 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf195
Abstract: We show that the $TQ$ equation is satisfied by the trace over the quantum space of the product of $R$-matrices intertwining two representations of the quantum double of the Borel subalgebra of the affine algebra $U_{\text{q}}(\widehat{sl}_2)$ (the standard two-dimensional and the $N$-dimensional cyclic representations).
Keywords: quantum groups, Baxter $Q$-operator, cyclic representations.
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 757–764
DOI: https://doi.org/10.1023/A:1024070602051
Bibliographic databases:
Language: Russian
Citation: A. A. Belavin, R. A. Usmanov, “$Q$-Operator and the Drinfeld Equation”, TMF, 135:3 (2003), 370–377; Theoret. and Math. Phys., 135:3 (2003), 757–764
Citation in format AMSBIB
\Bibitem{BelUsm03}
\by A.~A.~Belavin, R.~A.~Usmanov
\paper $Q$-Operator and the Drinfeld Equation
\jour TMF
\yr 2003
\vol 135
\issue 3
\pages 370--377
\mathnet{http://mi.mathnet.ru/tmf195}
\crossref{https://doi.org/10.4213/tmf195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984443}
\zmath{https://zbmath.org/?q=an:1178.81103}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 3
\pages 757--764
\crossref{https://doi.org/10.1023/A:1024070602051}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000184367300002}
Linking options:
  • https://www.mathnet.ru/eng/tmf195
  • https://doi.org/10.4213/tmf195
  • https://www.mathnet.ru/eng/tmf/v135/i3/p370
    • 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
    Statistics & downloads:
    Abstract page:476
    Full-text PDF :245
    References:52
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024