Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Lie_group
|
| gptkbp:definedIn |
trace of the product of two adjoint representations
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:Lie_group
|
| gptkbp:heldBy |
symmetric bilinear form
|
| https://www.w3.org/2000/01/rdf-schema#label |
Killing form
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Wilhelm_Killing
|
| gptkbp:property |
invariant under automorphisms
non-degenerate for semisimple Lie algebras |
| gptkbp:usedFor |
classification of semisimple Lie algebras
|
| gptkbp:bfsParent |
gptkb:Lie_theory
gptkb:Weyl_group gptkb:Lie_group gptkb:Lie_groups |
| gptkbp:bfsLayer |
5
|