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

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

2010-11-18

arxiv.org/abs/1011.4126v1

Journal of Pure and Applied Algebra, Volume 216, Issue 4, April 2012, Pages 857-875

Mathematics

Representation Theory

24 pages. Comments welcome

Scientific paper

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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