Geodesic
Quantum algebras with representation ring of $\operatorname{sl}(2)$ type
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 167-177 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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P. P. Kulish; N. Manoilovich. Quantum algebras with representation ring of $\operatorname{sl}(2)$ type. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 167-177. http://geodesic.mathdoc.fr/item/ZNSL_2007_347_a9/

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