Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
gl(n, F)
|
| gptkbp:basisFor |
matrix units E_{ij}
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
gptkb:special_linear_Lie_algebra
|
| gptkbp:containsElement |
n x n matrices
|
| gptkbp:definedIn |
field F
|
| gptkbp:dimensions |
n^2
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear Lie algebra
|
| gptkbp:isSimple |
false
|
| gptkbp:LieBracket |
[A,B] = AB - BA
|
| gptkbp:relatedGroup |
gptkb:general_linear_group
|
| gptkbp:structureConstants |
gptkb:Kronecker_delta
|
| gptkbp:usedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:special_linear_Lie_algebra
gptkb:symplectic_Lie_algebra |
| gptkbp:bfsLayer |
6
|