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

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

2000-11-13

arxiv.org/abs/math/0011074v3

Studies in Memory of Issai Schur, Progress in Mathematics 210, 115-153, Birkhauser 2003

Mathematics

Quantum Algebra

33 pages, 2 figures, final version

Scientific paper

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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