The derivation conjecture for quantum grassmannians

Let $K$ be a field of characteristic zero, let $q$ be a nonzero element of $K$ that is not a root of unity, and let $\mathcal{O}_{q}(G(k,n))$ be the quantum grassmannian with $2\leq k\leq n-2$. A derivation is a $K$-linear map satisfying the Leibniz rule, an inner derivation is one of the form $x\mapsto ax-xa$, and the column derivations are the derivations $D_i$ induced by the columns of $\mathcal{O}_{q}(M(k,n))$. Derivation conjecture. Every derivation of $\mathcal{O}_{q}(G(k,n))$ can be written as a linear combination of inner derivations and column derivations. Furthermore, the column derivations are linearly independent modulo the space generated by the inner derivations. This conjecture predicts a complete description of the derivations and the first Hochschild cohomology of the quantum grassmannian; the supplied text does not state whether it is resolved.