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    <namePart>Ladisch, Frieder</namePart>
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    <namePart>Schürmann, Achill</namePart>
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    <namePart>McMullen, Peter</namePart>
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    <namePart>Scharlau, Rudolf</namePart>
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    <namePart>Mathematisch-Naturwissenschaftliche Fakultät</namePart>
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  <abstract type="Summary">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.&lt;eng&gt;</abstract>
  <abstract type="Summary">Diese kumulative Habilitationsschrift enthält verschiedene Arbeiten über Anwendungen der Darstellungstheorie endlicher Gruppen auf Polytope und ihre Symmetrien, insbesondere Orbit-Polytope (auch eckentransitive Polytope genannt). Behandelt werden unter anderem affine Symmetriegruppen von Orbit-Polytopen, gitterfreie Orbit-Polytope, die kombinatorische Symmetriegruppe des Birkhoff-Polytops und Realisierungen abstrakt-regulärer Polytope.&lt;ger&gt;</abstract>
  <note type="statement of responsibility">vorgelegt von Frieder Ladisch aus Rostock</note>
  <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>
  <note type="thesis">Habilitationsschrift Universität Rostock 2018</note>
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      <form>v, 174 Seiten</form>
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    <identifier type="local">(DE-627)1014668883</identifier>
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      <namePart>Ladisch, Frieder, 1977 - </namePart>
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  <identifier type="urn">urn:nbn:de:gbv:28-diss2018-0026-2</identifier>
  <identifier type="doi">10.18453/rosdok_id00002032</identifier>
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