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, take the span of…

For the $A$-series quantum flag manifolds, consider reduced decompositions of the longest Weyl-group element and the associated positive Lusztig root vectors, quantum tangent space…

Reiner's conjecture. For $n\geq 4$,