Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Vector
|
| gptkbp:application |
gptkb:algebraic_geometry
coding theory cryptography differential geometry group theory number theory physics representation theory |
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
gptkb:SL(n)
|
| gptkbp:defines |
group of n×n invertible matrices over a field
|
| gptkbp:determinant |
nonzero
|
| gptkbp:dimensions |
n^2
|
| gptkbp:field |
gptkb:Field
|
| gptkbp:fullName |
gptkb:general_linear_group
|
| gptkbp:hasSubgroup |
gptkb:group_of_people
|
| gptkbp:heldBy |
gptkb:algebraic_geometry
gptkb:group_of_people gptkb:Lie_group Lie group (if field is R or C) |
| https://www.w3.org/2000/01/rdf-schema#label |
GL(n)
|
| gptkbp:identityElement |
identity matrix
matrix inverse |
| gptkbp:notation |
gptkb:GL(n,_F)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite (if field is infinite)
|
| gptkbp:relatedTo |
orthogonal group
|
| gptkbp:bfsParent |
gptkb:Base_Change_for_GL(n)
|
| gptkbp:bfsLayer |
6
|