Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:application |
gptkb:algebraic_geometry
gptkb:quantum_physics differential geometry representation theory |
| gptkbp:centralTo |
scalar matrices with nonzero complex entries
|
| gptkbp:containsElement |
invertible 10x10 complex matrices
|
| gptkbp:determinant |
det: GL(10,C) → C*
|
| gptkbp:dimensions |
100
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
General Linear Group of degree 10 over the complex numbers
|
| gptkbp:homotopyType |
homotopy equivalent to U(10)
|
| https://www.w3.org/2000/01/rdf-schema#label |
GL(10,C)
|
| gptkbp:identityElement |
10x10 identity matrix
|
| gptkbp:isQuotientOf |
PGL(10,C)
|
| gptkbp:Lie_algebra |
gl(10,C)
|
| gptkbp:maximalCompactSubgroup |
U(10)
|
| gptkbp:notation |
gptkb:GL(10,C)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:relatedGroup |
gptkb:Lie_group
connected non-compact reductive |
| gptkbp:specialSubgroup |
SL(10,C)
|
| gptkbp:topology |
gptkb:Riemannian_manifold
|
| gptkbp:bfsParent |
gptkb:SO(10,C)
|
| gptkbp:bfsLayer |
7
|