Deformation of Chains via a Local Symmetric Group Action
Deformation of Chains via a Local Symmetric Group Action
A symmetric group action on the maximal chains in a finite, ranked poset is local if the adjacent transpositions act in such a way that $(i,i+1)$ sends each maximal chain either to itself or to one differing only at rank $i$. We prove that when $S_n$ acts locally on a …