general linear group of degree n over field F
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
vector space of dimension n over F
|
| gptkbp:alsoKnownAs |
gptkb:GL(n,_F)
|
| gptkbp:application |
gptkb:algebraic_geometry
cryptography physics representation theory |
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
special linear group SL(n, F)
|
| gptkbp:definedIn |
group of n x n invertible matrices over field F
|
| gptkbp:hasSubgroup |
orthogonal group
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group of degree n over field F
|
| gptkbp:identityElement |
identity matrix
matrix inverse |
| gptkbp:isNonAbelian |
for n > 1
|
| gptkbp:isQuotientOf |
projective general linear group PGL(n, F)
|
| gptkbp:isSimple |
for n > 1 and F not of order 2
|
| gptkbp:notation |
gptkb:GL(n,_F)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
finite if F is finite
|
| gptkbp:relatedTo |
automorphism group of vector space
|
| gptkbp:bfsParent |
gptkb:GL(n,_F)
|
| gptkbp:bfsLayer |
6
|