Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
complex vector space of dimension n+1
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
SL(n+1, C)
|
| gptkbp:definedIn |
group of all invertible (n+1)×(n+1) matrices with complex entries
|
| gptkbp:determinant |
group homomorphism to C*
|
| gptkbp:dimensions |
(n+1)^2
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
general linear group of degree n+1 over the complex numbers
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
GL(n+1, C)
|
| gptkbp:identityElement |
identity matrix
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
PGL(n+1, C)
|
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
GL(n+1, ℂ)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:bfsParent |
gptkb:SO(n+1,_C)
|
| gptkbp:bfsLayer |
7
|