Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
scalar matrices with nonzero complex entries
|
| gptkbp:containsElement |
invertible 3x3 complex matrices
|
| gptkbp:determinant |
GL(3,C) → C*
|
| gptkbp:dimensions |
9
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
general linear group of degree 3 over the complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:SL(3,C)
gptkb:GL(2,C) diagonal matrices |
| https://www.w3.org/2000/01/rdf-schema#label |
GL(3,C)
|
| gptkbp:identityElement |
matrix inverse
3x3 identity matrix |
| gptkbp:isAlgebraicGroup |
C
true |
| gptkbp:isLieGroupOver |
C
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
gptkb:PGL(3,C)
|
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
gptkb:GL(3,C)
|
| gptkbp:order |
infinite
|
| gptkbp:relatedGroup |
matrix multiplication
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
differential geometry physics representation theory automorphism group of C^3 |
| gptkbp:bfsParent |
gptkb:SL(3,C)
gptkb:U(3) |
| gptkbp:bfsLayer |
7
|