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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 107–129 (Mi znsl536)  
Fusion of $q$-tensor operators: quasi-Hopf-algebraic point of view

A. G. Bytsko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (270 kB) English version article
Abstract: We discuss the fusion of tensor operators for $U_q(\mathscr J)$ by means of the $R$-matrix approach. The problem is reduced to construction of the twisting element $\mathscr J$ which appears in Drinfeld's description of quasi-Hopf algebras. The discussion is illustrated by explicit calculations for the case of $U_q(sl(2))$.
Received: 23.04.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2077–2091
DOI: https://doi.org/10.1007/BF02675729
Bibliographic databases:
UDC: 517.9
Language: English
Citation: A. G. Bytsko, “Fusion of $q$-tensor operators: quasi-Hopf-algebraic point of view”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 107–129; J. Math. Sci. (New York), 100:2 (2000), 2077–2091
Citation in format AMSBIB
\Bibitem{Byt97}
\by A.~G.~Bytsko
\paper Fusion of $q$-tensor operators: quasi-Hopf-algebraic point of view
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 107--129
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl536}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1627849}
\zmath{https://zbmath.org/?q=an:1007.17011}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2077--2091
\crossref{https://doi.org/10.1007/BF02675729}
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