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, 2012, Volume 172, Number 1, Pages 100–121
DOI: https://doi.org/10.4213/tmf6923 (Mi tmf6923) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Classical $r$-matrices of two- and three-dimensional Lie superbialgebras and their Poisson–Lie supergroups

A. Eghbali, A. Rezaei-Aghdam

Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran
Full-text PDF (653 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6923
Abstract: We obtain the classical $r$-matrices of two- and three-dimensional Lie superbialgebras. We thus classify all two- and three-dimensional coboundary Lie superbialgebras and their types (triangular, quasitriangular, or factorable). Using the Sklyanin superbracket, we then obtain the super Poisson structures on the related Poisson–Lie supergroups.
Keywords: Lie superbialgebra, Poisson–Lie supergroup, classical $r$-matrix.
Received: 18.06.2011
Revised: 13.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 1, Pages 963–986
DOI: https://doi.org/10.1007/s11232-012-0089-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Eghbali, A. Rezaei-Aghdam, “Classical $r$-matrices of two- and three-dimensional Lie superbialgebras and their Poisson–Lie supergroups”, TMF, 172:1 (2012), 100–121; Theoret. and Math. Phys., 172:1 (2012), 963–986
Citation in format AMSBIB
\Bibitem{EghRez12}
\by A.~Eghbali, A.~Rezaei-Aghdam
\paper Classical $r$-matrices of two- and three-dimensional Lie superbialgebras and their Poisson--Lie supergroups
\jour TMF
\yr 2012
\vol 172
\issue 1
\pages 100--121
\mathnet{http://mi.mathnet.ru/tmf6923}
\crossref{https://doi.org/10.4213/tmf6923}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3170056}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...172..963E}
\elib{https://elibrary.ru/item.asp?id=20732497}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 172
\issue 1
\pages 963--986
\crossref{https://doi.org/10.1007/s11232-012-0089-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000307309800007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865575378}
Linking options:
  • https://www.mathnet.ru/eng/tmf6923
  • https://doi.org/10.4213/tmf6923
  • https://www.mathnet.ru/eng/tmf/v172/i1/p100
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:366
    Full-text PDF :157
    References:70
    First page:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024