Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
cyclic group of order N
|
| gptkbp:compact |
true (for N > 1)
|
| gptkbp:definedIn |
the group of N x N complex matrices with determinant 1
|
| gptkbp:dimensions |
N^2 - 1
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Special Linear Group of degree N over the complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:SU(N)
GL(N,C) |
| https://www.w3.org/2000/01/rdf-schema#label |
SL(N,C)
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
true (for N > 1)
|
| gptkbp:Lie_algebra |
sl(N,C)
|
| gptkbp:notation |
SL(N,ℂ)
|
| gptkbp:relatedGroup |
matrix multiplication
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:SU(N)
|
| gptkbp:bfsLayer |
6
|