Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:GL(n,_F)
|
| gptkbp:actsOn |
vector spaces
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
identity matrix
|
| gptkbp:defines |
group of invertible n×n matrices over a field F
|
| gptkbp:field |
group theory
linear algebra |
| gptkbp:hasSubgroup |
orthogonal group
|
| gptkbp:heldBy |
gptkb:algebraic_geometry
non-abelian for n > 1 Lie group when F = R or C |
| https://www.w3.org/2000/01/rdf-schema#label |
general linear groups
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
number theory representation theory |
| gptkbp:isQuotientOf |
projective general linear group
|
| gptkbp:notation |
gptkb:GL(n,_F)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
(q^n-1)(q^n-q)...(q^n-q^{n-1}) for GL(n, F_q)
|
| gptkbp:relatedTo |
automorphism group of vector space
|
| gptkbp:bfsParent |
gptkb:Deligne_category
|
| gptkbp:bfsLayer |
6
|