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

Understand

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).