Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
matrices with one 1, one -1, rest 0
|
| gptkbp:bracketOperation |
matrix commutator
|
| gptkbp:centralTo |
trivial for n > 2
|
| gptkbp:consistsOf |
n x n real matrices with trace zero
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:field |
R
|
| gptkbp:fullName |
gptkb:special_linear_Lie_algebra_over_the_real_numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
sl(n, R)
|
| gptkbp:isSimple |
true for n > 1
|
| gptkbp:realForm |
gptkb:sl(n,_C)
|
| gptkbp:relatedGroup |
gptkb:SL(n,_R)
|
| gptkbp:structureConstants |
dependent on n
|
| gptkbp:usedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(n,_R)
|
| gptkbp:bfsLayer |
6
|