The modular branching rule for affine Hecke algebras of type A

Susumu Ariki (1) , Nicolas Jacon (2) , Cédric Lecouvey (3)

1 RIMS - Research Institute for Mathematical Sciences
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
3 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove the modular branching rule. The latter generalizes work by Vazirani.

Domaines: Théorie des représentations [math.RT]

Susumu Ariki, Nicolas Jacon, Cédric Lecouvey. The modular branching rule for affine Hecke algebras of type A. 2008. ⟨hal-00315397v2⟩