Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
The following topics (headlines of the various sections) are discussed for the cohomology of line bundles on G/B for the rank-2 group \(G_ 2:\) Generic decomposition patterns, Jantzen's filtrations, Andersen's filtrations, Standard and non-standard vanishing, Non-vanishing in more than two degrees, Semistandard vanishing. The example treated is general enough to illustrate both the known results about the cohomology on G/B and the many open problems in this area.
scientific article; zbMATH DE number 3995968
scientific article