3 problems

Let $\lambda$ be a dominant weight, let $V_\lambda$ be the corresponding representation space, and let $\Omega_\lambda(u)=\Omega_\lambda+u\otimes \operatorname{id}$. Using a basis…

Let $n$ be a positive integer, and let $A$ and $B$ be the matrices occurring in the identity $\operatorname{eq.further.1}$, with parameters $h_1$ and $q_i$. A matrix is antisymmetr…

Let $n$ be a positive integer, and let $A$ and $B$ be the matrices occurring in the identity $\operatorname{eq.further.1}$, with parameters $h_1$ and $q_i$. A matrix is antisymmetr…