Margulis superrigidity theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
irreducible lattices in higher-rank semisimple Lie groups
|
| gptkbp:author |
gptkb:Grigory_Margulis
|
| gptkbp:describes |
homomorphisms from lattices in higher-rank semisimple Lie groups
|
| gptkbp:field |
gptkb:mathematics
gptkb:Lie_groups ergodic theory arithmetic groups |
| https://www.w3.org/2000/01/rdf-schema#label |
Margulis superrigidity theorem
|
| gptkbp:implies |
gptkb:Margulis_arithmeticity_theorem
|
| gptkbp:namedAfter |
gptkb:Grigory_Margulis
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Mostow_rigidity_theorem
gptkb:arithmeticity_theorem |
| gptkbp:sentence |
Any homomorphism from an irreducible lattice in a higher-rank semisimple Lie group to a linear group over a local field extends to a homomorphism of the ambient group.
|
| gptkbp:yearProved |
1975
|
| gptkbp:bfsParent |
gptkb:Margulis_arithmeticity_theorem
gptkb:Margulis_arithmeticity |
| gptkbp:bfsLayer |
5
|