special linear Lie algebra sl(9)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:Cartan_type |
A
|
| gptkbp:centralTo |
trivial
|
| gptkbp:consistsOf |
9x9 traceless matrices
|
| gptkbp:defining_representation |
9-dimensional
|
| gptkbp:derivedFrom |
general linear Lie algebra gl(9)
|
| gptkbp:dimensions |
80
|
| gptkbp:field |
usually complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
special linear Lie algebra sl(9)
|
| gptkbp:Killing_form |
non-degenerate
|
| gptkbp:notation |
gptkb:A_8
sl(9) |
| gptkbp:rank |
8
complex numbers |
| gptkbp:relatedGroup |
gptkb:special_linear_group_SL(9)
|
| gptkbp:structure_constants |
antisymmetric
|
| gptkbp:subalgebra_of |
gl(9)
|
| gptkbp:type |
gptkb:Lie_group
gptkb:A_8 gptkb:classical_Lie_algebra |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_9
|
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(9)
|
| gptkbp:bfsLayer |
8
|