Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:de_Rham_cohomology
group cohomology |
| gptkbp:hasApplication |
gptkb:topology
differential geometry mathematical physics |
| gptkbp:hasInvariant |
gptkb:Chevalley–Eilenberg_complex
|
| gptkbp:hasSubfield |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lie algebra cohomology
|
| gptkbp:introduced |
gptkb:Claude_Chevalley
gptkb:Samuel_Eilenberg |
| gptkbp:introducedIn |
1948
|
| gptkbp:location |
M is a g-module
g is a Lie algebra |
| gptkbp:notation |
H^n(g, M)
|
| gptkbp:relatedConcept |
gptkb:Koszul_complex
gptkb:Hochschild_cohomology gptkb:Lie_group_cohomology |
| gptkbp:relatedTo |
gptkb:Lie_group
cohomology |
| gptkbp:studies |
cohomology groups of Lie algebras
|
| gptkbp:usedFor |
representation theory
classification of Lie algebras deformation theory studying extensions of Lie algebras |
| gptkbp:bfsParent |
gptkb:Lie_theory
gptkb:Gelfand–Fuchs_cohomology |
| gptkbp:bfsLayer |
5
|