Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
scalar matrices with nonzero complex entries
|
| gptkbp:compact |
true
|
| gptkbp:contains |
SL_n(C)
|
| gptkbp:containsElement |
invertible n x n matrices with complex entries
|
| gptkbp:determinant |
C^*
|
| gptkbp:dimensions |
n^2
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
general linear group of degree n over the complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
SL_n(C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
GL n(C)
|
| gptkbp:identityElement |
identity matrix
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isQuotientOf |
PGL_n(C)
|
| gptkbp:isReductive |
true
|
| gptkbp:notation |
gptkb:GL(n,C)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
differential geometry representation theory linear algebra |
| gptkbp:bfsParent |
gptkb:general_linear_group_GL(n,C)
|
| gptkbp:bfsLayer |
7
|