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

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.

Cherednik algebra; category O; reflection group

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