Voting, the symmetric group, and representation theory

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied $\mathbb{Q}S_n$-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.
19 pages

Keywords

Representation Theory, Combinatorics, Group Theory, 91B12; 20C30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/144437

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2837
 http://arxiv.org/abs/0712.2837

Collections

arXiv