Higher spin representations of maximal compact subalgebras of simply-laced Kac-Moody-algebras

Robin Lautenbacher, Ralf Köhl

Given the maximal compact subalgebra $\mathfrak{k}(A)$ of a split-real Kac-Moody algebra $\mathfrak{g}(A)$ of type $A$, we study certain finite-dimensional representations of $\mat…