2 problems

Let $t_3^0$ be the Markov trace on the specialized algebra described by the conditions $t_3^0(1)=t_3^0(s_1)=0$ and $t_3^0(s_1s_2)=1$. Markov-trace extension conjecture. The trace…

For $n\geq 3$, let $\mathcal{B}_n^{\pm}$ be the specialized algebra, let $\mathcal{I}_n^{\pm}$ be its defining ideal, and let…