A-infinity algebras

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:alsoKnownAs strongly homotopy associative algebras
gptkbp:appearsIn gptkb:quantum_field_theory
gptkb:Fukaya_category
symplectic geometry
gptkbp:category gptkb:A-infinity_category
gptkbp:field gptkb:mathematics
homological algebra
gptkbp:generalizes associative algebras
https://www.w3.org/2000/01/rdf-schema#label A-infinity algebras
gptkbp:introduced James Stasheff
gptkbp:introducedIn 1963
gptkbp:relatedTo differential graded algebras
L-infinity algebras
gptkbp:satisfies higher associativity conditions
gptkbp:structure graded vector space
sequence of multilinear maps
gptkbp:usedIn gptkb:topology
gptkb:category_theory
gptkb:mirror_symmetry
deformation theory
gptkbp:bfsParent gptkb:Gene_Stasheff
gptkbp:bfsLayer 7