Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 167–177 (Mi znsl79)  
Quantum algebras with representation ring of $\operatorname{sl}(2)$ type

P. P. Kulisha, N. Manoilovichb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Universidade do Algarve
Full-text PDF (208 kB) Citations (1)
References:
PDF
HTML
Abstract: A reducible representation of the Temperley–Lieb algebra is constructed on tensor product of $n$-dimensional spaces. One obtains as a centraliser of this action a quantum algebra (a quasitriangular Hopf algebra) with representation ring equivalent to the representation ring of the $\operatorname{sl}(2)$ Lie algebra.
Received: 31.08.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 2, Pages 2894–2900
DOI: https://doi.org/10.1007/s10958-008-9011-9
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. P. Kulish, N. Manoilovich, “Quantum algebras with representation ring of $\operatorname{sl}(2)$ type”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 167–177; J. Math. Sci. (N. Y.), 151:2 (2008), 2894–2900
Citation in format AMSBIB
\Bibitem{KulMan07}
\by P.~P.~Kulish, N.~Manoilovich
\paper Quantum algebras with representation ring of $\operatorname{sl}(2)$ type
\inbook Questions of quantum field theory and statistical physics. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 347
\pages 167--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl79}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2458890}
\elib{https://elibrary.ru/item.asp?id=13583888}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 2
\pages 2894--2900
\crossref{https://doi.org/10.1007/s10958-008-9011-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249108027}
Linking options:
  • https://www.mathnet.ru/eng/znsl79
  • https://www.mathnet.ru/eng/znsl/v347/p167
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:339
    Full-text PDF :94
    References:66
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024