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

1999/03/18 by Bernard Leclerc, Leclerc, Bernard, Jean‐Yves Thibon +2
Mathematics · #17B #20C #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B #msc:20C

paper · pdf · doi:10.48550/arxiv.math/9903110

6 pages, text in french with abridged english version

arxiv created 1999/03/18 · openalex publication_date 1999/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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