Induced representations of affine Hecke algebras and singularities of R-matrices

Mathematics – Quantum Algebra

Scientific paper

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6 pages, text in french with abridged english version

Scientific paper

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).

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