Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
10-dimensional real vector space
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:connectedComponent |
gptkb:special_orthogonal_group_SO(10)
|
| gptkbp:describes |
group of 10x10 real orthogonal matrices
|
| gptkbp:determinant |
±1
|
| gptkbp:dimensions |
45
|
| gptkbp:field |
real numbers
|
| gptkbp:hasSubgroup |
gptkb:special_orthogonal_group_SO(10)
gptkb:general_linear_group_GL(10,_R) |
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal group O(10)
|
| gptkbp:invariantForm |
gptkb:Euclidean_inner_product
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:Lie_algebra |
so(10)
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
gptkb:orthogonal_group_O(n)
gptkb:orthogonal_group_O(9) gptkb:orthogonal_group_O(11) |
| gptkbp:bfsParent |
gptkb:Spin(10)
|
| gptkbp:bfsLayer |
7
|