Borel–Tits theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns homomorphisms of algebraic groups
structure of algebraic groups
gptkbp:field algebraic group theory
https://www.w3.org/2000/01/rdf-schema#label Borel–Tits theorem
gptkbp:influenced structure theory of algebraic groups
gptkbp:namedAfter gptkb:Armand_Borel
gptkb:Jacques_Tits
gptkbp:publishedIn gptkb:Publications_Mathématiques_de_l'IHÉS
gptkbp:relatedTo gptkb:Chevalley_groups
algebraic group homomorphisms
gptkbp:state Every abstract homomorphism from a simple algebraic group over an infinite field to an algebraic group is standard, i.e., induced by a field homomorphism and an isogeny.
gptkbp:yearProved 1972
gptkbp:bfsParent gptkb:Armand_Borel
gptkbp:bfsLayer 6