Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
gptkb:algebraic_geometry
gptkb:Lie_group |
| gptkbp:example |
diagonal matrices in GL(n, C)
|
| gptkbp:field |
group theory
|
| gptkbp:hasInvariant |
conjugation in the group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan subgroup
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:namedAfter |
gptkb:Élie_Cartan
|
| gptkbp:property |
gptkb:maximal_torus_in_a_connected_Lie_group
maximal abelian subgroup consisting of semisimple elements |
| gptkbp:relatedTo |
gptkb:Weyl_group
Cartan subalgebra |
| gptkbp:role |
central to classification of Lie groups
used in the study of root systems |
| gptkbp:bfsParent |
gptkb:Group_theory
gptkb:Lie_group gptkb:Lie_groups |
| gptkbp:bfsLayer |
5
|