Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
semisimple Lie algebra
|
| gptkbp:category |
gptkb:Lie_algebras
involutions |
| gptkbp:defines |
an involutive automorphism of a real semisimple Lie algebra with certain properties
|
| gptkbp:field |
gptkb:Lie_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan involution
|
| gptkbp:namedAfter |
gptkb:Élie_Cartan
|
| gptkbp:property |
its fixed point set is a maximal compact subalgebra
|
| gptkbp:relatedTo |
gptkb:Killing_form
gptkb:Cartan_decomposition symmetric space |
| gptkbp:usedIn |
theory of symmetric spaces
classification of real semisimple Lie algebras |
| gptkbp:bfsParent |
gptkb:semisimple_Lie_algebras
gptkb:Cartan_decomposition |
| gptkbp:bfsLayer |
6
|