2 problems

Let $\mathfrak{g}$ be a simple Lie algebra with simple roots $\alpha_i$, let $V_1,V_2$ be representations of $\mathfrak{g}$ with highest weights $\lambda_1,\lambda_2$, and let…

Purity and exterior-power basis conjecture. For every $w\in Z_{r+1}$, the cohomology of $(\Omega^{\bullet}(Y),\nabla_{\tilde{\omega}})$ is pure,