Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Lie_group
|
gptkbp:appearsIn |
anti-de Sitter space symmetry group
conformal group of 3+1-dimensional Minkowski space |
gptkbp:centralTo |
gptkb:Z_2
|
gptkbp:compact |
true
|
gptkbp:dimensions |
10
|
gptkbp:fullName |
Special orthogonal group of signature (2,3)
|
gptkbp:hasConnection |
false
|
gptkbp:hasMaximalSubgroup |
SO(2) x SO(3)
|
gptkbp:hasSubgroup |
O(2,3)
|
https://www.w3.org/2000/01/rdf-schema#label |
SO(2,3)
|
gptkbp:isDoubleCoverOf |
Spin(2,3)
|
gptkbp:isMatrixGroup |
true
|
gptkbp:isomorphicTo |
Sp(4,R)/Z_2
|
gptkbp:isSemisimple |
true
|
gptkbp:isSimple |
true
|
gptkbp:Lie_algebra |
so(2,3)
|
gptkbp:preserves |
quadratic form of signature (2,3)
|
gptkbp:rank |
2
|
gptkbp:realForm |
SO(5,C)
|
gptkbp:bfsParent |
gptkb:SO(1,4)
|
gptkbp:bfsLayer |
7
|