TY - BOOK AU - Ladisch, Frieder PY - 2017 DA - 2017// TI - Representation theory and polytopes PB - Universität Rostock CY - Rostock AB - 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. UR - http://purl.uni-rostock.de/rosdok/id00002032 UR - https://doi.org/10.18453/rosdok_id00002032 DO - 10.18453/rosdok_id00002032 LA - English N1 - vorgelegt von Frieder Ladisch aus Rostock ID - 1016264968 ER -