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 $P_{n-1}$.
(2^n,2^n,2^n,1)-relative difference sets and their representations
Lagrangian Matroids: Representations of Type $B_n$
Representations of lift bicircular matroids
![QR code for arXiv:1109.5040 [math.CO]](http://oss.arxitics.com/images/favicon.svg)