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arXiv · 1004.2108

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

Martina Balagovic·Arjun Puranik
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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).

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BibTeXRIS

Martina Balagovic, Arjun Puranik. 2010-06-22. Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3. https://arxiv.org/abs/1004.2108

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