Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Group theory concept |
| gptkbp:definedInContextOf |
gptkb:Lie_group
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Group_theory |
| gptkbp:generalizes |
gptkb:Reductive_group
|
| gptkbp:hasProperty |
Every Borel subgroup is a parabolic subgroup
Every parabolic subgroup contains a Borel subgroup Parabolic subgroups are important in the structure theory of algebraic groups |
| gptkbp:hasSpecialCase |
Borel subgroup
|
| https://www.w3.org/2000/01/rdf-schema#label |
Parabolic subgroup
|
| gptkbp:namedAfter |
gptkb:Parabola
|
| gptkbp:originatedIn |
gptkb:Algebraic_geometry
gptkb:Representation_theory Theory of Lie groups Theory of algebraic groups |
| gptkbp:property |
Closed subgroup
Contains a Borel subgroup Stabilizer of a flag |
| gptkbp:relatedTo |
Borel subgroup
|
| gptkbp:subclassOf |
Subgroup
|
| gptkbp:bfsParent |
gptkb:Algebraic_groups
|
| gptkbp:bfsLayer |
7
|