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

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.

24 pages. Comments welcome

References in corpus (3)

• Lecture notes on Cherednik algebras
• On the cyclotomic Hecke algebras of complex reflection groups
• Finite dimensional representations of the rational Cherednik algebra for $G_4$