Voting, the symmetric group, and representation theory
Representation Theory
2007-12-19 v1 Combinatorics
Group Theory
Abstract
We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied -modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and some basic ideas from representation theory (e.g., Schur's Lemma), this allows us to recast and extend some well-known results in the field of voting theory.
Cite
@article{arxiv.0712.2837,
title = {Voting, the symmetric group, and representation theory},
author = {Zajj Daugherty and Alexander K. Eustis and Gregory Minton and Michael E. Orrison},
journal= {arXiv preprint arXiv:0712.2837},
year = {2007}
}
Comments
19 pages