2 problems

Let $\Bbbk$ be an algebraically closed field of characteristic zero and let $q\in\Bbbk^\times$ be a nonroot of unity. For $n\geq 2$, let $\mathcal O_q(M_n(\Bbbk))$ denote the singl…

Let $S^{(n)}_{1,2,\dots,n}$ be the $n$th symmetrizer and let $m_n(x)$ be the minimal polynomial of the operator … The construction defines the next symmetrizer by evaluating…