2 problems

Let $\mathcal{C}$ be the braided tensor category of finite-dimensional modules over $u_q(\mathfrak{g})$, where $q$ is a root of unity of odd order and the category is equipped with…

Let $u_q(\mathfrak{g})$ be a general small quantum group, and let $\mathbf{vect}$ denote its canonical module category of finite-dimensional vector spaces. Non-full exactness conje…