%0 Journal Article
%T The Linear Ordering Polytope via Representations
%A Lukas Katth£¿n
%J Mathematics
%D 2011
%I arXiv
%X Let $P_n$ denote the $n$-th linear ordering polytope. We define projections from $P_n$ to the $n$-th permutahedron and to the $(n-1)$-st linear ordering polytope. Both projections are equivariant with respect to the natural $\Sn$-action and they project to orthogonal subspaces. In particular the second projection defines an $S_n$-action in $P_{n-1}$.
%U http://arxiv.org/abs/1109.5040v2