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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
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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}
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