Tannakian category

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:characterizedBy fiber functor to vector spaces
gptkbp:definedIn field k
gptkbp:field gptkb:category_theory
representation theory
gptkbp:generalizes category of representations of an affine group scheme
gptkbp:hasApplication gptkb:Galois_theory
algebraic groups
motives
fundamental group schemes
gptkbp:hasProperty rigid
abelian
k-linear
neutral if admits a fiber functor
symmetric monoidal
https://www.w3.org/2000/01/rdf-schema#label Tannakian category
gptkbp:isA neutral rigid abelian tensor category
tensor category
gptkbp:namedAfter gptkb:Tadao_Tannaka
gptkbp:relatedTo gptkb:Tannaka–Krein_duality
gptkbp:studiedBy gptkb:Pierre_Deligne
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:motivic_Galois_theory
gptkbp:bfsParent gptkb:Tate_motive
gptkb:Representation_theory
gptkbp:bfsLayer 5