Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Lie_group |
| gptkbp:application |
differential geometry
harmonic analysis representation theory |
| gptkbp:characterizedBy |
solvable Lie algebra
|
| gptkbp:definedIn |
Lie group whose Lie algebra is solvable
|
| gptkbp:example |
gptkb:upper_triangular_matrix_group
Borel subgroup |
| https://www.w3.org/2000/01/rdf-schema#label |
solvable Lie groups
|
| gptkbp:Lie_algebra |
solvable Lie algebra
|
| gptkbp:originatedIn |
partial differential equations
algebraic group theory |
| gptkbp:property |
every nilpotent Lie group is solvable
not every solvable Lie group is nilpotent |
| gptkbp:relatedTo |
gptkb:nilpotent_Lie_groups
gptkb:semisimple_Lie_groups |
| gptkbp:studiedIn |
gptkb:Lie_theory
|
| gptkbp:subclassOf |
gptkb:Lie_group
|
| gptkbp:bfsParent |
gptkb:Lie_groups
|
| gptkbp:bfsLayer |
5
|