A Correction on a Proof of a Combinatorial Property of the Set of Minimal Vectors in Root Lattices $\mathbb{A}_n$
In this papar, we point out some mistakes in a proof of an important combinatorial property of $S(\mathbb{A}_n)$, the set of all minimal vectors of lattice $\mathbb{A}_n$, and correct them in the last section. This property plays an essential role in classifying perfect lattices in euclidean space.
math.CO↗