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

Bernard Leclerc·Jean-Yves Thibon
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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).

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Bernard Leclerc, Jean-Yves Thibon. 1999-03-18. Induced representations of affine Hecke algebras and singularities of R-matrices. https://arxiv.org/abs/math/9903110

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