Beilinson–Bernstein localization theorem
GPTKB entity
Statements (18)
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 |
https://www.w3.org/2000/01/rdf-schema#label |
Beilinson–Bernstein localization theorem
|
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
|
gptkbp:bfsLayer |
6
|