Matroid Automorphisms of the Root System F4

نویسندگان

  • STEPHANIE FRIED
  • AYDIN GEREK
چکیده

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.

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تاریخ انتشار 2007