3 problems

Let $\mathbf{j}$ and $\mathbf{j}'$ be two reduced decompositions of the longest element of the Weyl group of $\mathfrak{sl}_{n+1}$. For each reduced decomposition, consider the ass…

Let $\mathbf{j}$ and $\mathbf{j}'$ be two reduced decompositions of the longest element of the Weyl group of $\mathfrak{sl}_{n+1}$. For each reduced decomposition, take the span of…

Let $\mathbf{j}$ and $\mathbf{j}'$ be the distinguished reduced decompositions of the longest element of the Weyl group of $\mathfrak{sl}_{n+1}$, with associated Lusztig and dual f…