On the structure of $En{d}_{u_k(2)}({\Omega }_k^{\otimes r})$

Qiang Fu, Qunguang Yang

Let $u_k(2)$ be the infinitesimal quantum ${\mathfrak{gl}}_2$ over $k$, where $k$ is a field containing an $l$th primitive root $\epsilon$ of 1 with $l\ge 3$ {\it odd}. We will determine the b…