A geometric Steinberg formula

Pramod N Achar (1) , Simon Riche (2)

1 LSU - Louisiana State University
2 LMBP - Laboratoire de Mathématiques Blaise Pascal

We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric counterpart (in light of the Finkelberg-Mirković conjecture) of the Steinberg tensor product formula for simple representations of reductive groups over fields of positive characteristic.

Domaines: Théorie des représentations [math.RT]

Pramod N Achar, Simon Riche. A geometric Steinberg formula. Transformation Groups, In press. ⟨hal-03355997v2⟩