On $\pi$-systems of symmetrizable Kac-Moody algebras

K. N. Raghavan, Krishanu Roy, S. Viswanath

Given a symmetrizable Kac-Moody algebra $\mathfrack{g}$, we study its $\pi$-systems, which are subsets of real roots, the pairwise differences of whose elements are not roots. Such s…