A positive characteristic resolution problem for \(\text{SL}(3,k)\)
This article concerns the theory of rational representations of \(\text{SL}(3,k)\) in case \(\text{char }k=p>0\). For a given regular weight in the fundamental box the author constructs a complex of standard \(G_1B\)-modules with the property, that its highest non-vanishing homology is the irreducible representation with this highest weight and the characters of the other homology groups are known. The complexes remind of BGG-resolutions but they are not exact.
scientific article; zbMATH DE number 1106633