Tiles from projections of the root and weight lattices of $A_n$

Nazife Ozdes Koca, Mehmet Koca, Rehab Nasser Al Reasi

Main purpose of this work is to introduce a general technique of projection of the Voronoi tessellation of the weight lattice $A_n^{\ast }$ and apply it for the lattice $A_4^{\ast }$. Th…