Séminaire Lotharingien de Combinatoire, B73a (2015), 11 pp.
Paola Cellini and Mario Marietti
Polar Root Polytopes that are Zonotopes
Let P\Phi be the root polytope of a finite irreducible
crystallographic root system \Phi, i.e., the convex hull of all
roots in \Phi. The polar of P\Phi,
coincides with the union of the orbit of the fundamental alcove under
the action of the Weyl group. In this paper, we determine which
polytopes P\Phi* are zonotopes and which are not. The proof
Received: September 10, 2014.
Revised: February 6, 2015.
Accepted: February 16, 2015.
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