The Linear Ordering Polytope via Representations

Details The Linear Ordering Polytope via Representations The Linear Ordering Polytope via Representations

2011-09-23

arxiv.org/abs/1109.5040v2

Mathematics

Combinatorics

Scientific paper

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 $P_{n-1}$.

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