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

Martina Balagovic; Christopher Policastro

doi:10.1016/j.jpaa.2011.08.011

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

Martina Balagovic, Christopher Policastro

Mathematics

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Abstract

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 language	English
Pages (from-to)	857-875
Number of pages	19
Journal	J. Pure and Applied Algebra
Volume	216
Issue number	4
Early online date	9 Aug 2011
DOIs	https://doi.org/10.1016/j.jpaa.2011.08.011
Publication status	Published - Apr 2012

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http://www.sciencedirect.com/science/article/pii/S0022404911002143

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abstract = "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. ",

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AB - 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.

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

Abstract

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