On the endomorphism algebra of modular Gelfand-Graev representations

Cédric Bonnafé (1) , Radha Kessar (2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 MD-UNIV. ABERDEEN - Mathematics Department of the University of Aberdeen

We study the endomorphism algebras of a modular Gelfand-Graev representation of a finite reductive group by investigating modular properties of homomorphisms constructed by Curtis and Curtis-Shoji.

Mots clés: finite reductive groups; Gelfand-Graev representations; modular representations; unipotent blocks

Domaines: Théorie des représentations [math.RT]

Cédric Bonnafé, Radha Kessar. On the endomorphism algebra of modular Gelfand-Graev representations. 2008. ⟨hal-00168266v2⟩