Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

Details Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

2008-11-27

arxiv.org/abs/0811.4549v4

Mathematics

Representation Theory

31 pages

Scientific paper

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.

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