rotation group of the sphere
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:butter
|
| gptkbp:alsoKnownAs |
gptkb:SO(3)
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
3
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:orthogonal_group_O(3)
|
| https://www.w3.org/2000/01/rdf-schema#label |
rotation group of the sphere
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:projective_special_unitary_group_PSU(2)
|
| gptkbp:isRealizedAs |
3x3 orthogonal matrices with determinant 1
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(3)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
gptkb:region
angles orientation |
| gptkbp:universalCover |
gptkb:SU(2)
|
| gptkbp:bfsParent |
gptkb:Möbius_group
|
| gptkbp:bfsLayer |
7
|