RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 2003, Volume 134, Number 3, Pages 374–381 (Mi tmf162)  

Representations of the Quantum Group $SL_q(2)$ in a Space of Functions

D. R. Karakhanyan

Yerevan Physics Institute

Abstract: We construct representations of the quantum group $SL_q(2)$ in a functional space. We consider the cases of general and exceptional values of the deformation parameter $q$.

Keywords: quantum deformation, cyclic representation, Casimir operators

DOI: https://doi.org/10.4213/tmf162

Full text: PDF file (196 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2003, 134:3, 326–332

Bibliographic databases:

Received: 29.11.2001
Revised: 02.04.2002

Citation: D. R. Karakhanyan, “Representations of the Quantum Group $SL_q(2)$ in a Space of Functions”, TMF, 134:3 (2003), 374–381; Theoret. and Math. Phys., 134:3 (2003), 326–332

Citation in format AMSBIB
\Bibitem{Kar03}
\by D.~R.~Karakhanyan
\paper Representations of the Quantum Group $SL_q(2)$ in a Space of Functions
\jour TMF
\yr 2003
\vol 134
\issue 3
\pages 374--381
\mathnet{http://mi.mathnet.ru/tmf162}
\crossref{https://doi.org/10.4213/tmf162}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2001814}
\zmath{https://zbmath.org/?q=an:1178.81128}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 3
\pages 326--332
\crossref{https://doi.org/10.1023/A:1022693220509}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000182047100003}


Linking options:
  • http://mi.mathnet.ru/eng/tmf162
  • https://doi.org/10.4213/tmf162
  • http://mi.mathnet.ru/eng/tmf/v134/i3/p374

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:226
    Full text:93
    References:49
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020