Induced representations of affine Hecke algebras and singularities of R-matrices
arXiv:math/9903110
Abstract
We give an explicit criterion for the irreducibility of some induction products of evaluation modules of affine Hecke algebras of type A. This allows to describe the form of the singularities of the trigonometric R-matrix associated to any evaluation module of U_v(sl^_N).
6 pages, text in french with abridged english version