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arXiv · 1002.4607

Generalized Jack polynomials and the representation theory of rational Cherednik algebras

Charles Dunkl·Stephen Griffeth
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Abstract

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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BibTeXRIS

Charles Dunkl, Stephen Griffeth. 2010-02-24. Generalized Jack polynomials and the representation theory of rational Cherednik algebras. https://arxiv.org/abs/1002.4607

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