The Kostant form of $\mathfrak{U}(s{l}_n^{+})$ and the Borel subalgebra of the Schur algebra S(n,r)

Ana Paula Santana, Ivan Yudin

Let $A_n(K)$ be the Kostant form of $\mathfrak{U}(s{l}_n^{+})$ and $\Gamma$ the monoid generated by the positive roots of $s{l}_n$. For each $\lambda \in \Lambda (n,r)$ we construct a functor $F_{\lambda }$ from th…