%0 Journal Article
%T A remarkable representation on nilpotent file placements
%A Mahir Bilen Can
%J Mathematics
%D 2015
%I arXiv
%X Exploiting the interplay between the rook theory, graph theory, and semigroup theory, we define and study a remarkable representation of the symmetric group on labeled rooted forests. We compute various character formulas and multiplicities.
%U http://arxiv.org/abs/1506.01543v1