Valued Fields with K Commuting Derivations

A matrix is said to be monomial if every row and column has only one nonzero entry. Let G be a group. A representation ρ: G → GL _n (?) is said to be a monomial representation of G if there exists a basis with respect to which ρ(g) is a monomial matrix for every g ∈ G. We use elementary methods to classify the irreducible monomial representations of the groups L ₂(q), L ₃(q) and their natural decorations.     

Grothendieck Groups of Bundles on Varieties over Finite Fields

Let X be an irreducible, projective variety over a finite field, and let A be a sheaf of rings on X. In this paper, we study Grothendieck groups of categories of vector bundles over certain types of ringed spaces (X,A).