Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
R^n
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:component |
gptkb:Z/2Z
|
| gptkbp:connects |
false
|
| gptkbp:containsElement |
invertible n x n real matrices
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:determinant |
nonzero
|
| gptkbp:dimensions |
n^2
|
| gptkbp:fullName |
general linear group of degree n over the real numbers
|
| gptkbp:hasSubgroup |
gptkb:GL(n,C)
gptkb:SO(n) gptkb:SL(n,R) O(n) |
| https://www.w3.org/2000/01/rdf-schema#label |
GL(n,R)
|
| gptkbp:identityElement |
identity matrix
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:notation |
gptkb:GL_n(R)
GL(n,\\mathbb{R}) |
| gptkbp:numberOfConnectedComponents |
2
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:quotientBySL(n,R) |
R^*
|
| gptkbp:usedIn |
differential geometry
group theory physics representation theory linear algebra |
| gptkbp:bfsParent |
gptkb:GL(n,C)
gptkb:GL(n,Q) |
| gptkbp:bfsLayer |
7
|