Matroid Automorphisms of the F4 Root System

Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group of this matroid and compare it to the Coxeter group W for the root system. We find non-geometric automorphisms that preserve the matroid but not the root system.

• Type: Journal
• Year: 2007
• Where: COMBINATORICS
• Authors: Stephanie Fried, Aydin Gerek, Gary Gordon, Andrija Perunicic
• Keywords: COMBINATORICS 2007, Matroid, Root System, Simple Linear Dependence