Induced representations of affine Hecke algebras and canonical bases of quantum groups
Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon
Abstract
A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.
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