Category O for the rational Cherednik algebra associated to the complex reflection group G_12

Martina Balagovic, Christopher Policastro

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In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h for an arbitary complex parameter c. In particular, we determine the irreducible finite dimensional representations and compute their characters.
Original languageEnglish
Pages (from-to)857-875
Number of pages19
JournalJ. Pure and Applied Algebra
Issue number4
Early online date9 Aug 2011
Publication statusPublished - Apr 2012

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