Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 004, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.004 (Mi sigma130) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group

Nenad Manojlović, Zoltán Nagy

Departamento de Matemática, FCT, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal
Full-text PDF (215 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2007.004
Abstract: Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the $E_{\tau,\eta}(so_3)$ elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of $E_{\tau,\eta}(so_3)$.
Keywords: elliptic quantum group; algebraic Bethe ansatz.
Received: October 31, 2006; in final form December 28, 2006; Published online January 5, 2007
Bibliographic databases:
Document Type: Article
MSC: 82B23; 81R12; 81R50
Language: English
Citation: Nenad Manojlović, Zoltán Nagy, “Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group”, SIGMA, 3 (2007), 004, 10 pp.
Citation in format AMSBIB
\Bibitem{ManNag07}
\by Nenad Manojlovi{\'c}, Zolt\'an Nagy
\paper Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group
\jour SIGMA
\yr 2007
\vol 3
\papernumber 004
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma130}
\crossref{https://doi.org/10.3842/SIGMA.2007.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2280330}
\zmath{https://zbmath.org/?q=an:1140.82014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889236631}
Linking options:
  • https://www.mathnet.ru/eng/sigma130
  • https://www.mathnet.ru/eng/sigma/v3/p4
    • 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
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:302
    Full-text PDF :109
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024