@Book{1016264968, author="Ladisch, Frieder", title="Representation theory and polytopes", year="2017", address="Rostock", 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.", school="Universit{\"a}t Rostock", note="vorgelegt von Frieder Ladisch aus Rostock", note="``This is a cumulative thesis, and so the main part of this thesis consists of papers (listed on page 23) which are already published, or submitted for publication. All papers are also available from the preprint server arXiv.'' - Vorwort", note="Habilitationsschrift Universit{\"a}t Rostock 2018", doi="10.18453/rosdok_id00002032", url="http://purl.uni-rostock.de/rosdok/id00002032", url="https://doi.org/10.18453/rosdok_id00002032", language="English" }