Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
9-dimensional vector space
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:consistsOf |
invertible 9x9 matrices
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
81
|
| gptkbp:fieldParameter |
F (arbitrary field)
|
| gptkbp:hasSubgroup |
gptkb:special_linear_group_SL(9)
general linear group GL(n) for n>9 |
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(9)
|
| gptkbp:identityElement |
9x9 identity matrix
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
projective general linear group PGL(9)
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
GL(9)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
(q^9-1)(q^9-q)...(q^9-q^8) (for finite field of order q)
|
| gptkbp:relatedTo |
gptkb:special_linear_group_SL(9)
|
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(9)
|
| gptkbp:bfsLayer |
8
|