general linear group over any field
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
vector space over F
|
| gptkbp:application |
gptkb:algebraic_geometry
group theory representation theory linear algebra |
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:hasSubgroup |
orthogonal group
general linear group over any ring |
| gptkbp:hasType |
invertible matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group over any field
|
| gptkbp:identityElement |
identity matrix
matrix inverse |
| gptkbp:isNonAbelian |
true (for n > 1)
|
| gptkbp:notation |
gptkb:GL(n,_F)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
finite (if F is finite)
infinite (if F is infinite) |
| gptkbp:parameter |
gptkb:Field
positive integer n |
| gptkbp:relatedTo |
projective linear group
determinant homomorphism |
| gptkbp:bfsParent |
gptkb:general_linear_group_GL(n,q)
|
| gptkbp:bfsLayer |
8
|