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

Research output: Working paper

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DatePublished - 22 Jun 2010
Number of pages29
Original languageEnglish

Abstract

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).

    Research areas

  • Representation Theory;, Quantum algebra;

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