Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
group representations
irreducible representations module homomorphisms |
| gptkbp:category |
theorems in algebra
theorems in representation theory |
| gptkbp:field |
representation theory
linear algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Schur's lemma
|
| gptkbp:namedAfter |
gptkb:Issai_Schur
|
| gptkbp:publishedIn |
1905
|
| gptkbp:relatedTo |
gptkb:Burnside's_theorem
gptkb:Maschke's_theorem gptkb:Schur_orthogonality_relations |
| gptkbp:state |
The endomorphism ring of an irreducible representation is a division ring.
Any homomorphism between two irreducible representations is either zero or an isomorphism. |
| gptkbp:usedIn |
quantum mechanics
theory of group representations theory of Lie algebras theory of C*-algebras |
| gptkbp:bfsParent |
gptkb:Weyl's_theorem
gptkb:Group_theory gptkb:Ricci_tensor gptkb:Representation_theory |
| gptkbp:bfsLayer |
5
|