Representation theory and polytopes

Frieder Ladisch

doi:10.18453/rosdok_id00002032

Frieder Ladisch

Representation theory and polytopes

Universität Rostock, 2017

https://doi.org/10.18453/rosdok_id00002032

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.

postdoctoral thesis free access

title:

Representation theory and polytopes

contributing persons:

Frieder Ladisch[VerfasserIn]
	0000-0002-0216-213X
	137490070
Achill Schürmann[AkademischeR BetreuerIn]
	122475488
Peter McMullen[AkademischeR BetreuerIn]
	1097306666
Rudolf Scharlau[AkademischeR BetreuerIn]

contributing corporate bodies:

Universität Rostock[Grad verleihende Institution]
	38329-6
Universität Rostock, Mathematisch-Naturwissenschaftliche Fakultät[Grad verleihende Institution]
	2147083-2

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. [English]

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. [German]

document type:

postdoctoral thesis

institution:

Faculty of Mathematics and Natural Sciences

language:

English

subject class (DDC):

510 Mathematics

publication /
production:

Rostock

Rostock: Universität Rostock

2017

statement of responsibility:

vorgelegt von Frieder Ladisch aus Rostock

notes:

"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

identifiers: