Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:containsElement |
10x10 real orthogonal matrices with determinant 1
|
| gptkbp:dimensions |
45
|
| gptkbp:fullName |
Special Orthogonal Group in 10 dimensions over the real numbers
|
| gptkbp:fundamentalGroup |
gptkb:Z_4
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasDoubleCover |
gptkb:Spin(10)
|
| gptkbp:hasSubgroup |
O(10,R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(10,R)
|
| gptkbp:isClassicalGroup |
true
|
| gptkbp:isConnectedComponentOf |
O(10,R)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:isSpecialOrthogonalGroup |
true
|
| gptkbp:Lie_algebra |
so(10,R)
|
| gptkbp:maximalCompactSubgroupOf |
gptkb:SO(10,C)
|
| gptkbp:rank |
5
|
| gptkbp:realForm |
gptkb:SO(10,C)
true |
| gptkbp:usedIn |
gptkb:Mathematics
gptkb:Theoretical_physics gptkb:Grand_Unified_Theories |
| gptkbp:bfsParent |
gptkb:SO(10,C)
|
| gptkbp:bfsLayer |
7
|