Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

Abstract

We define the i-restriction and i-induction functors on the category O of the cyclotomic rational double affine Hecke algebras. This yields a crystal on the set of isomorphism classes of simple modules, which is isomorphic to the crystal of a Fock space.

arXiv comment31 pages

References in corpus (1)

• Blocks of cyclotomic Hecke algebras

Cited by in corpus (1)

• Polynomial representations and categorifications of Fock Space