2 problems

Let $D^b(\mathcal O^n)$ be the bounded derived category of the direct sum of the parabolic categories $\mathcal O^{k,n-k}$, and extend the cap, cup, and reflection functors to deri…

Parabolic Temperley–Lieb relations conjecture. These functors should satisfy the natural isomorphisms corresponding to the defining relations of the Temperley–Lieb category, with…