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most citedJack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal

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math.RT2010★ 3 cited

Generalized Jack polynomials and the representation theory of rational Cherednik algebras

Charles Dunkl, Stephen Griffeth

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 valu…