CRYSTALS OF FOCK SPACES AND CYCLOTOMIC RATIONAL DOUBLE AFFINE HECKE ALGEBRAS

摘要

We define the i-restriction and i-induction functors on the category 0 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.