Publications

We consider the Jones - Wenzl representation $\rho_{4}^{(k,r)}$ of the braid group $B_{4}$. For each pair of integers (k,r) with $r \geq k+1$, we exclude a family of words in the generators from belonging to the kernel of $\rho_{4}^{(k,r)}$. Then, we prove that $\rho_{4}^{(k,r)}$ is not faithful for any even integer r.