Heisenberg algebras and rational double affine Hecke algebras
Quantum Algebra
2011-02-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1011.6488,
title = {Heisenberg algebras and rational double affine Hecke algebras},
author = {P. Shan and Eric Vasserot},
journal= {arXiv preprint arXiv:1011.6488},
year = {2011}
}
Comments
57 pages