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Voting, the Symmetric Group, and Representation Theory
We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied QSn-modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and some basic ideas from representation theory (e.g., Schur\u27s Lemma), this allows us to recast and extend some well-known results in the field of voting theory