representation theory of algebras
GPTKB entity
Statements (48)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
|
| gptkbp:appliesTo |
gptkb:Lie_algebras
associative algebras finite-dimensional algebras group algebras |
| gptkbp:fieldOfStudy |
gptkb:mathematics
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:signal_processing gptkb:topology coding theory control theory cryptography invariant theory mathematical physics number theory partial differential equations theoretical computer science combinatorics modular representation theory quantum groups |
| gptkbp:hasSubfield |
gptkb:algebra
representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
representation theory of algebras
|
| gptkbp:notableContributor |
gptkb:Claus_Michael_Ringel
gptkb:Idun_Reiten gptkb:Pierre_Gabriel gptkb:Maurice_Auslander |
| gptkbp:notableIdea |
gptkb:Auslander–Reiten_theory
gptkb:Gabriel's_theorem gptkb:Morita_equivalence projective modules indecomposable modules simple modules tame and wild dichotomy |
| gptkbp:relatedTo |
gptkb:category_theory
homological algebra quiver representations |
| gptkbp:studies |
linear representations of algebras
modules over algebras |
| gptkbp:uses |
gptkb:quivers
functors derived categories exact sequences homological methods path algebras representation type classification |
| gptkbp:bfsParent |
gptkb:noncommutative_geometry
|
| gptkbp:bfsLayer |
5
|