Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
group with no nontrivial connected normal solvable subgroups
|
| gptkbp:example |
gptkb:special_orthogonal_group_SO(n)
gptkb:symplectic_group_Sp(n) gptkb:special_linear_group_SL(n) |
| gptkbp:field |
abstract algebra
group theory |
| gptkbp:has_generalization |
reductive group
|
| gptkbp:hasProperty |
trivial radical
|
| https://www.w3.org/2000/01/rdf-schema#label |
Semisimple group
|
| gptkbp:importantFor |
gptkb:Lie_theory
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:property |
direct product of simple groups
no nontrivial abelian normal subgroups |
| gptkbp:relatedTo |
simple group
reductive group |
| gptkbp:studiedBy |
representation theory
|
| gptkbp:subclassOf |
simple group
reductive group |
| gptkbp:used_in |
classification of Lie algebras
algebraic group theory |
| gptkbp:bfsParent |
gptkb:Algebraic_groups
|
| gptkbp:bfsLayer |
7
|