Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) (Q1820867)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) |
scientific article; zbMATH DE number 3995968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) |
scientific article; zbMATH DE number 3995968 |
Statements
Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) (English)
0 references
1987
0 references
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.
0 references
cohomology of line bundles
0 references
decomposition patterns
0 references
filtrations
0 references
vanishing
0 references
0 references
