Computational proof of the Mackey formula for q > 2

Cédric Bonnafé (1) , Jean Michel (2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 IMJ - Institut de Mathématiques de Jussieu

Let G be a connected reductive group defined over a finite field with q elements. We prove that the Mackey formula for the Lusztig induction and restriction holds in G whenever q>2 or G does not have a component of type E.

Mots clés: Mackey formula; Lusztig functor

Domaines: Théorie des représentations [math.RT]

Cédric Bonnafé, Jean Michel. Computational proof of the Mackey formula for q > 2. 2010. ⟨hal-00463295⟩