
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.
33 pages, 2 figures, final version
[INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), Representation Theory (math.RT), MSC 17B 20C 05E, Mathematics - Representation Theory
[INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), Representation Theory (math.RT), MSC 17B 20C 05E, Mathematics - Representation Theory
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