Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
gptkb:special_linear_Lie_algebra
|
| gptkbp:application |
differential geometry
particle physics representation theory |
| gptkbp:Cartan_type |
A
|
| gptkbp:centralTo |
trivial
|
| gptkbp:class |
gptkb:classical_Lie_algebra
|
| gptkbp:dimensions |
n^2-1
|
| gptkbp:Dynkin_diagram |
A_{n-1}
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:firstSeason |
gptkb:A_1_Lie_algebra
|
| gptkbp:generation |
traceless n x n matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
A {n-1} Lie algebra
|
| gptkbp:lowestNontrivialCase |
sl(2)
|
| gptkbp:notation |
sl(n)
|
| gptkbp:rank |
n-1
|
| gptkbp:relatedGroup |
gptkb:PSL(n)
gptkb:SL(n) |
| gptkbp:type |
gptkb:Lie_group
gptkb:A_{n-1}_root_system |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_n
|
| gptkbp:bfsParent |
gptkb:sl(n,_C)
|
| gptkbp:bfsLayer |
7
|