Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
8 linearly independent trace-zero 3x3 real matrices
|
| gptkbp:CartanSubalgebraDimension |
2
|
| gptkbp:centralTo |
trivial
|
| gptkbp:defines |
Lie algebra of 3x3 real matrices with trace zero
|
| gptkbp:dimensions |
8
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
special linear Lie algebra of 3x3 real matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
sl(3,R)
|
| gptkbp:isSimple |
true
|
| gptkbp:KillingForm |
non-degenerate
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:sl(3,C)
|
| gptkbp:relatedGroup |
gptkb:SL(3,R)
|
| gptkbp:structureConstants |
given by commutator of matrices
|
| gptkbp:type |
gptkb:A2
|
| gptkbp:usedIn |
gptkb:theoretical_physics
differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:sl(3,C)
gptkb:SL(3,R) |
| gptkbp:bfsLayer |
7
|