Hall algebra

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:built based on isomorphism classes of objects in an abelian category
gptkbp:definedIn finite field
gptkbp:field gptkb:mathematics
gptkbp:generalizes gptkb:Ringel–Hall_algebra
gptkbp:hasApplication number theory
algebraic combinatorics
moduli spaces
quantum enveloping algebras
gptkbp:hasSubfield gptkb:algebra
https://www.w3.org/2000/01/rdf-schema#label Hall algebra
gptkbp:introducedIn 1959
gptkbp:namedAfter gptkb:Philip_Hall
gptkbp:operator multiplication defined by counting extensions
gptkbp:relatedTo gptkb:category_theory
representation theory
quantum groups
quiver representations
gptkbp:usedIn study of finite abelian p-groups
study of modules over finite fields
gptkbp:bfsParent gptkb:Philip_Hall
gptkb:Ringel–Hall_algebra
gptkbp:bfsLayer 7