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Frieder Ladisch

Representation theory and polytopes

Universität Rostock, 2017

Abstract: This cumulative habilitation thesis contains several papers concerning applications of the representation theory of finite groups to polytopes and their symmetries, and in particular, orbit polytopes (also known as vertex-transitive polytopes). The topics treated include affine symmetry groups of orbit polytopes, lattice-free orbit polytopes, the combinatorial symmetry group of the Birkhoff polytope and realizations of abstract regular polytopes.

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