|
gptkbp:instanceOf
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gptkb:mathematical_concept
gptkb:cohomology_theory
|
|
gptkbp:appliesTo
|
gptkb:associative_algebra
rings
|
|
gptkbp:category
|
gptkb:algebra
|
|
gptkbp:definedIn
|
bimodules
|
|
gptkbp:firstCohomology
|
derivations modulo inner derivations
|
|
gptkbp:generalizes
|
group cohomology
|
|
gptkbp:hasGrading
|
graded by non-negative integers
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Hochschild cohomology
|
|
gptkbp:introducedIn
|
1945
|
|
gptkbp:measures
|
extensions of bimodules
|
|
gptkbp:namedAfter
|
gptkb:Gerhard_Hochschild
|
|
gptkbp:notation
|
HH^n(A, M)
|
|
gptkbp:product
|
cup product
|
|
gptkbp:relatedTo
|
gptkb:Gerstenhaber_algebra
gptkb:André–Quillen_cohomology
gptkb:Hochschild_homology
gptkb:cyclic_cohomology
|
|
gptkbp:secondCohomology
|
equivalence classes of algebra extensions
|
|
gptkbp:structure
|
gptkb:Gerstenhaber_algebra
graded algebra
|
|
gptkbp:studiedBy
|
deformations of algebras
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:category_theory
mathematical physics
noncommutative geometry
representation theory
homological algebra
deformation theory
|
|
gptkbp:bfsParent
|
gptkb:Lie_algebra_cohomology
gptkb:Cyclic_cohomology
gptkb:cyclic_cohomology
|
|
gptkbp:bfsLayer
|
6
|