arXiv:1011.4126 [math.RT]AbstractReferencesReviewsResources
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
Martina Balagovic, Christopher Policastro
Published 2010-11-18Version 1
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.
Comments: 24 pages. Comments welcome
Journal: Journal of Pure and Applied Algebra, Volume 216, Issue 4, April 2012, Pages 857-875
Categories: math.RT
Subjects: 17B10
Keywords: complex reflection group, rational cherednik algebra, arbitary complex parameter, irreducible finite dimensional representations, reflection representation
Tags: journal article
Related articles: Most relevant | Search more
arXiv:0910.5527 [math.RT] (Published 2009-10-29)
Finite dimensional representations of the rational Cherednik algebra for $G_4$
Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3
Rational Cherednik algebras and diagonal coinvariants of G(m,p,n)