Multiplicities of maximal weights of the $\widehat{s\ell }(n)$-module $V(k{\Lambda }_0)$

Rebecca L. Jayne, Kailash C. Misra

Consider the affine Lie algebra $\widehat{s\ell }(n)$ with null root $\delta$, weight lattice $P$ and set of dominant weights $P^{+}$. Let $V(k{\Lambda }_0),k\in {\mathbb{Z}}_{\ge 1}$ denote the in…