Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
semisimple Lie algebra
field of characteristic zero finite-dimensional module |
| gptkbp:field |
gptkb:Lie_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Whitehead's lemma
|
| gptkbp:implies |
semisimple Lie algebras are rigid
|
| gptkbp:namedAfter |
gptkb:J._H._C._Whitehead
|
| gptkbp:state |
the first and second cohomology groups of a finite-dimensional semisimple Lie algebra over a field of characteristic zero with coefficients in a finite-dimensional module vanish
|
| gptkbp:usedIn |
gptkb:Lie_algebra_cohomology
representation theory |
| gptkbp:bfsParent |
gptkb:Lie_algebras
|
| gptkbp:bfsLayer |
6
|