Weyl group orbits on Kac--Moody root systems

Lisa Carbone, Alexander Conway, Walter Freyn +1

Let $\mathcal{D}$ be a Dynkin diagram and let $\Pi =\{{\alpha }_1,\dots ,{\alpha }_{\ell }\}$ be the simple roots of the corresponding Kac--Moody root system. Let $\mathfrak{h}$ denote the Cartan suba…