Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Lie_group |
| gptkbp:definedIn |
group of invertible matrices closed under matrix multiplication and inversion
|
| gptkbp:example |
gptkb:general_linear_group
orthogonal group |
| gptkbp:hasProperty |
finite-dimensional
locally Euclidean smooth group operations real or complex matrices |
| https://www.w3.org/2000/01/rdf-schema#label |
matrix Lie group
|
| gptkbp:Lie_algebra |
matrix Lie algebra
|
| gptkbp:namedAfter |
gptkb:Sophus_Lie
|
| gptkbp:operator |
matrix multiplication
matrix inversion |
| gptkbp:structure |
gptkb:Riemannian_manifold
|
| gptkbp:studiedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:subclassOf |
gptkb:Lie_group
|
| gptkbp:bfsParent |
gptkb:SO(n)
|
| gptkbp:bfsLayer |
6
|