%0 Journal Article
%T Heisenberg algebras and rational double affine Hecke algebras
%A P. Shan
%A Eric Vasserot
%J Mathematics
%D 2010
%I arXiv
%X In this paper we categorify the Heisenberg action on the Fock space via the category O of cyclotomic rational double affine Hecke algebras. This permits us to relate the filtration by the support on the Grothendieck group of O to a representation theoretic grading defined using the Heisenberg action. This implies a recent conjecture of Etingof.
%U http://arxiv.org/abs/1011.6488v2