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Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3

This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3, h) associated to the exceptional Coxeter group H_3 and any complex parameter c. We compute the characters of all these representations explicitly. As a consequence, we classify all the finite dimensional irreducible representations of H_c(H_3, h).

representation ; rational Cherednik algebra ; Coxeter group

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