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Induced representations of affine Hecke algebras and canonical bases of quantum groups

Bernard Leclerc·Maxim Nazarov·Jean-Yves Thibon
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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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Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon. 2003-03-31. Induced representations of affine Hecke algebras and canonical bases of quantum groups. https://arxiv.org/abs/math/0011074

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