Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:compact_Lie_groups
gptkb:semisimple_Lie_algebras |
| gptkbp:category |
theorems in algebraic geometry
theorems in representation theory |
| gptkbp:describes |
cohomology of line bundles on flag manifolds
|
| gptkbp:field |
gptkb:Lie_theory
gptkb:algebraic_geometry representation theory |
| gptkbp:generalizes |
gptkb:Borel–Weil_theorem
|
| gptkbp:namedAfter |
gptkb:André_Weil
gptkb:Armand_Borel gptkb:Raoul_Bott |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
irreducible representations of compact Lie groups
|
| gptkbp:uses |
flag varieties
sheaf cohomology line bundles |
| gptkbp:year |
1957
|
| gptkbp:bfsParent |
gptkb:Borel–Weil_theorem
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Borel–Weil–Bott theorem
|