The Linear Ordering Polytope via Representations
Combinatorics
2011-10-26 v2
Abstract
Let denote the -th linear ordering polytope. We define projections from to the -th permutahedron and to the -st linear ordering polytope. Both projections are equivariant with respect to the natural -action and they project to orthogonal subspaces. In particular the second projection defines an -action in .
Cite
@article{arxiv.1109.5040,
title = {The Linear Ordering Polytope via Representations},
author = {Lukas Katthän},
journal= {arXiv preprint arXiv:1109.5040},
year = {2011}
}