2016/12/19 by Cellini, Paola
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1612.06143
Let Φ be an irreducible crystallographic root system and \mathcal P its root polytope, i.e., its convex hull. We provide a uniform construction, for all root types, of a triangulation of the facets of \mathcal P. We also prove that, on each orbit of facets under the action of the Weyl gruop, the triangulation is unimodular with respect to a root sublattice that depends on the orbit.