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arXiv · 0712.3154

Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices

P. P. Kulish·N. Manojlovic·Z. Nagy
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Abstract

A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra (a quasi-triangular Hopf algebra) U_q with a representation ring equivalent to the representation ring of the sl_2 Lie algebra. This algebra U_q is the symmetry algebra of the corresponding open spin chain.

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BibTeXRIS

P. P. Kulish, N. Manojlovic, Z. Nagy. 2008-01-29. Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices. https://doi.org/10.1063/1.2873025

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