Jordan–Chevalley decomposition
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Dunford_decomposition
|
| gptkbp:appliesTo |
linear operator
square matrix |
| gptkbp:component |
nilpotent part
semisimple part |
| gptkbp:describes |
decomposition of a linear operator into semisimple and nilpotent parts
|
| gptkbp:field |
gptkb:algebra
linear algebra |
| gptkbp:generalizes |
gptkb:Jordan_normal_form
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jordan–Chevalley decomposition
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Camille_Jordan
gptkb:Claude_Chevalley |
| gptkbp:property |
semisimple and nilpotent parts commute
|
| gptkbp:usedIn |
gptkb:Lie_algebras
representation theory algebraic groups |
| gptkbp:bfsParent |
gptkb:Lie_algebras
gptkb:Levi_decomposition |
| gptkbp:bfsLayer |
6
|