%0 Journal Article %T Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3 %A Martina Balagovic %A Arjun Puranik %J Mathematics %D 2010 %I arXiv %X 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). %U http://arxiv.org/abs/1004.2108v3