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arXiv:1004.2108 [math.RT]AbstractReferencesReviewsResources

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

Martina Balagovic, Arjun Puranik

Published 2010-04-13, updated 2010-06-22Version 3

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).

Comments: Version 2: a minor error in 5.1 and its consequences in 3.1. and 3.2 corrected. Comments welcome
Categories: math.RT, math.QA
Subjects: 17B10
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