Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:characterizedBy |
Lie algebra is semisimple
|
| gptkbp:definedIn |
gptkb:Lie_theory
|
| gptkbp:example |
gptkb:special_linear_group_SL(n,_R)
gptkb:special_orthogonal_group_SO(n) gptkb:symplectic_group_Sp(n) |
| https://www.w3.org/2000/01/rdf-schema#label |
semisimple Lie group
|
| gptkbp:importantFor |
harmonic analysis
number theory classification of Lie groups |
| gptkbp:Lie_algebra |
semisimple Lie algebra
|
| gptkbp:property |
can be decomposed into simple Lie groups
no nontrivial connected solvable normal subgroups |
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:reductive_Lie_group |
| gptkbp:studiedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:subclassOf |
gptkb:Lie_group
|
| gptkbp:bfsParent |
gptkb:Weyl_group
gptkb:Margulis_arithmeticity_theorem gptkb:Lie_group |
| gptkbp:bfsLayer |
5
|