Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
Quantum Algebra
2009-07-26 v2 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.0712.3154,
title = {Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices},
author = {P. P. Kulish and N. Manojlovic and Z. Nagy},
journal= {arXiv preprint arXiv:0712.3154},
year = {2009}
}
Comments
14 pages LaTex; typos corrected and two references added