Beilinson–Bernstein localization theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:semisimple_Lie_algebras
gptkb:D-modules category O |
| gptkbp:field |
gptkb:algebraic_geometry
representation theory |
| gptkbp:namedAfter |
gptkb:Alexander_Beilinson
gptkb:Joseph_Bernstein |
| gptkbp:publishedIn |
gptkb:Functional_Analysis_and_Its_Applications
|
| gptkbp:relatedTo |
gptkb:Kazhdan–Lusztig_conjecture
gptkb:Verma_module enveloping algebra flag variety |
| gptkbp:state |
There is an equivalence between certain categories of representations of a semisimple Lie algebra and categories of D-modules on the flag variety.
|
| gptkbp:yearProved |
1981
|
| gptkbp:bfsParent |
gptkb:Beilinson–Bernstein
gptkb:D-modules |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Beilinson–Bernstein localization theorem
|