A representation on the labeled rooted forests
Representation Theory
2017-04-05 v2 Combinatorics
Abstract
We consider conjugation action of symmetric group on the semigroup of all partial functions and develop a machinery to investigate character formulas and multiplicities. In particular, we determine nilpotent matrices whose orbit under symmetric group afford the sign representation. Applications to rook theory are offered.
Cite
@article{arxiv.1506.01543,
title = {A representation on the labeled rooted forests},
author = {Mahir Bilen Can},
journal= {arXiv preprint arXiv:1506.01543},
year = {2017}
}