On permutation polytopes - notions of equivalence
Combinatorics
2014-04-04 v2 Group Theory
Representation Theory
Abstract
We clarify the notion of effective equivalence and characterize geometrically the effectively equivalent permutation groups. In particular, we present examples showing that the latter do not correspond to affinely equivalent polytopes thereby answering Question 2.12 of [BHNP09]. We apply our characterization to our examples and formulate several questions.
Keywords
Cite
@article{arxiv.1301.2080,
title = {On permutation polytopes - notions of equivalence},
author = {Barbara Baumeister and Matthias Grueninger},
journal= {arXiv preprint arXiv:1301.2080},
year = {2014}
}