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

2000/11/30 by Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon
Mathematics · #math.QA #math.CO #math.RT #msc:17B #msc:20C #msc:05E

paper · pdf

published as Studies in Memory of Issai Schur, Progress in Mathematics 210, 115-153, Birkhauser 2003 · 33 pages, 2 figures, final version

arxiv created 2003/03/31 · arxiv updated 2009/11/30

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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