On products of sl_n characters and support containment

Galyna Dobrovolska, Pavlo Pylyavskyy

Let $\lambda$, $\mu$, $\nu$ and $\rho$ be dominant weights of $\mathfrak{s}{\mathfrak{l}}_{\mathfrak{n}}$ satisfying $\lambda +\mu =\nu +\rho$. Let $V_{\lambda }$ denote the highest weight module corresponding to $\lambda$. Lam, Postnikov, Pylyavs…