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

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

2010-04-13

arxiv.org/abs/1004.2108v3

Mathematics

Representation Theory

Version 2: a minor error in 5.1 and its consequences in 3.1. and 3.2 corrected. Comments welcome

Scientific paper

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).

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