Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
10-dimensional vector space
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:containsElement |
invertible 10x10 matrices
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
100
|
| gptkbp:hasConnection |
true (over algebraically closed fields)
|
| gptkbp:hasDeterminantMap |
true
|
| gptkbp:hasSubgroup |
special linear group SL(10)
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(10)
|
| gptkbp:identityElement |
10x10 identity matrix
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
projective general linear group PGL(10)
|
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
GL(10)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite (over infinite fields)
|
| gptkbp:bfsParent |
gptkb:special_orthogonal_group_SO(10)
|
| gptkbp:bfsLayer |
8
|