Components of $V(m\ddot{I})\otimes V(n\ddot{I})$

Rekha Biswal, Sam Jeralds

Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra and let $\ddot{I}$ denote the sum of the fundamental weights. The irreducible highest weight representations $V(m\ddot{I})$ occupy a…