Voting, the symmetric group, and representation theory

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dc.creatorDaugherty, Zajj
dc.creatorEustis, Alexander K.
dc.creatorMinton, Gregory
dc.creatorOrrison, Michael E.
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:48Z
dc.date.available2026-07-07T08:49:48Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0712.2837
dc.identifierhttp://arxiv.org/abs/0712.2837
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144437
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject91B12; 20C30
dc.titleVoting, the symmetric group, and representation theory
dc.typetext

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