Statements (25)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:actsOn |
three-dimensional Euclidean space
|
gptkbp:application |
crystallography
physics quantum mechanics molecular symmetry |
gptkbp:containsElement |
rotation matrix
|
gptkbp:dimensions |
3
|
gptkbp:generation |
angular momentum operators
|
gptkbp:hasSubgroup |
O(3)
|
https://www.w3.org/2000/01/rdf-schema#label |
SO(3) symmetry
|
gptkbp:isomorphicTo |
gptkb:real_projective_space_RP^3
|
gptkbp:order |
infinite
|
gptkbp:preserves |
origin
Euclidean norm orientation |
gptkbp:property |
compact
non-abelian connected |
gptkbp:relatedGroup |
gptkb:Lie_group
|
gptkbp:relatedTo |
gptkb:rotation_group
orthogonal group |
gptkbp:universalCover |
gptkb:SU(2)
|
gptkbp:bfsParent |
gptkb:Taub–NUT_space
|
gptkbp:bfsLayer |
6
|