Maryam Chaghamirza - Department of Mathematics, Faculty of Basic Science, University of Payame Noor, Iran

G is a finite Chevalley group over the finite field k, and V is a finite-dimensional irreducible kG-module, then thefixed-point presheaf ℱ𝑉 is irreducible .In particular, every irreducible kG-module is the quotient of the zero-homologygroup of a universal panel-irreducible presheaf. We see that in general this does not occur

irreducible; finite group; presheaves; parabolic.