Generalized Jack polynomials and the representation theory of rational Cherednik algebras
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categorycherednikgeneralizedjackpolynomialsrationalalgebraalgebras
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We apply the Dunkl-Opdam operators and generalized Jack polynomials to study category O for the rational Cherednik algebra of type G(r,1,n). We determine the set of aspherical values, and answer a question of Iain Gordon on the ordering of category O.
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