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

Martina Balagovic, Arjun Puranik

Research output: Working paperPreprint


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).
Original languageEnglish
Number of pages29
Publication statusPublished - 22 Jun 2010


  • Representation Theory;
  • Quantum algebra;

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