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

Authors
Leclerc, B Thibon, JY
Citation
B. Leclerc et Jy. Thibon, Induced representations of affine Hecke algebras and singularities of R-matrices, CR AC S I, 328(12), 1999, pp. 1117-1122
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
12
Year of publication
1999
Pages
1117 - 1122
Database
ISI
SICI code
0764-4442(19990615)328:12<1117:IROAHA>2.0.ZU;2-6
Abstract
We give an explicit criterion for the irreducibility of some induction prod ucts of evaluation modules of affine Hecke algebras of type A. This allows to describe the form of the zeroes and pales of the trigonometric R-matrix associated to any evaluation module of U-v(<(sI)over cap>(N)). (C) Academie des Sciences/Elsevier, Paris.