2 problems

Let $\mathfrak{g} = \oplus_{t=1}^T \mathfrak{sl}_{n_t+1}(\mathbb{C})$ be a direct sum of special linear Lie algebras, with positive roots $\Delta$ as above, and let…

Let $ab ab$ be a $W_0$-orbit in $ab^*$, and choose $ab 'tinab$ such that … for every $ab\in\Phi_0^+$. Let $L(\Lambda,e)$ be the irreducible highest weight $U(\mathfrak g,e)$-module…