A computer oriented algorithm for the determination of the dimension and character of a modular irreducible SL(n,K)-module
Let k be an infinite field of characteristic p. For the case \(p=0\), H. Weyl gave explicit formulae for the dimensions and characters of irreducible SL(n,k)-modules. For \(p>0\), this is an open (and important) problem in the representation theory of algebraic groups. In this paper, the authors give an algorithm towards the computation of the dimensions and characters of the modular, rational irreducible representations of SL(n,k), for \(p>0\). This paper is an important contribution to the representation theory of algebraic groups.
representation theory of algebraic groups
scientific article; zbMATH DE number 4110939
scientific article