Maschke's theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite groups
group representations
gptkbp:field group theory
representation theory
gptkbp:implies semisimplicity of group algebras
gptkbp:namedAfter gptkb:Heinrich_Maschke
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:sentence Every finite group representation over a field of characteristic not dividing the group order is completely reducible.
gptkbp:usedIn decomposition of representations
gptkbp:yearProved 1899
gptkbp:bfsParent gptkb:Group_theory
gptkb:Schur's_lemma
gptkb:Weyl's_theorem_on_complete_reducibility
gptkbp:bfsLayer 6
https://www.w3.org/2000/01/rdf-schema#label Maschke's theorem