Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-01-03
Nonlinear Sciences
Exactly Solvable and Integrable Systems
11 pages
Scientific paper
We construct reflection K-matrices of solvable vertex models from
representations of the Temperley-Lieb algebras associated with the quantum
groups ${\cal U}_{q}(X_{n})$ for the affine Lie algebras
$X_{n}$ = $A_{1}^{(1)}$, $B_{n}^{(1)}$, $C_{n}^{(1)}$ and $D_{n}^{(1)}$.
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