general linear group GL(10, R)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
R^10
|
| gptkbp:centralTo |
scalar multiples of identity matrix
|
| gptkbp:contains |
gptkb:orthogonal_group_O(10)
gptkb:special_orthogonal_group_SO(10) diagonal matrices with nonzero entries |
| gptkbp:containsElement |
invertible 10x10 real matrices
|
| gptkbp:determinant |
nonzero
|
| gptkbp:dimensions |
100
|
| gptkbp:field |
real numbers
|
| gptkbp:hasSubgroup |
special linear group SL(10, R)
|
| gptkbp:heldBy |
gptkb:topology
gptkb:Lie_group non-abelian group |
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(10, R)
|
| gptkbp:identityElement |
10x10 identity matrix
|
| gptkbp:Lie_algebra |
gl(10, R)
|
| gptkbp:notation |
GL(10, R)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:bfsParent |
gptkb:orthogonal_group_O(10)
|
| gptkbp:bfsLayer |
8
|