Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
skew-symmetric matrices
|
| gptkbp:defines |
Lie algebra of all skew-symmetric matrices
|
| gptkbp:dimensions |
n(n-1)/2
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:Lie_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal Lie algebra
|
| gptkbp:is_the_Lie_algebra_of |
gptkb:special_orthogonal_group_SO(n)
gptkb:orthogonal_group_O(n) |
| gptkbp:notation |
so(n)
so(p,q) |
| gptkbp:rank |
complex numbers
real numbers |
| gptkbp:relatedTo |
gptkb:symmetry
gptkb:rotation_group orthogonal group |
| gptkbp:structure |
matrix Lie algebra
|
| gptkbp:used_in |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:Lie_algebras
|
| gptkbp:bfsLayer |
6
|