On permutation polytopes
Combinatorics
2010-02-14 v1 Group Theory
Representation Theory
Abstract
A permutation polytope is the convex hull of a group of permutation matrices. In this paper we investigate the combinatorics of permutation polytopes and their faces. As applications we completely classify permutation polytopes in dimensions 2,3,4, and the corresponding permutation groups up to a suitable notion of equivalence. We also provide a list of combinatorial types of possibly occuring faces of permutation polytopes up to dimension four.
Keywords
Cite
@article{arxiv.0709.1615,
title = {On permutation polytopes},
author = {Barbara Baumeister and Christian Haase and Benjamin Nill and Andreas Paffenholz},
journal= {arXiv preprint arXiv:0709.1615},
year = {2010}
}
Comments
AMS-LaTeX, 22 pages