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

Martina Balagovic; Arjun Puranik

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

Mathematics

Research output: Working paper › Preprint

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).

Original language	English
Number of pages	29
Publication status	Published - 22 Jun 2010

Keywords

Representation Theory;
Quantum algebra;

Access to Document

http://arxiv.org/abs/1004.2108

Cite this

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