Auslander algebra

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:characteristic has global dimension at most 2
every indecomposable projective module has simple socle
gptkbp:defines endomorphism algebra of the direct sum of all indecomposable modules over a representation-finite algebra
gptkbp:field gptkb:algebra
representation theory
https://www.w3.org/2000/01/rdf-schema#label Auslander algebra
gptkbp:introducedIn 1970s
gptkbp:namedAfter gptkb:Maurice_Auslander
gptkbp:notableWork Representation Theory of Artin Algebras
gptkbp:relatedTo finite-dimensional algebras
representation-finite algebras
gptkbp:seeAlso homological conjectures
module theory
Artin algebra
gptkbp:usedIn homological algebra
study of module categories
gptkbp:bfsParent gptkb:Maurice_Auslander
gptkbp:bfsLayer 7