special linear Lie algebra sl(8)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:adjoint_representation_dimension |
63
|
| gptkbp:associated_Lie_group |
SL(8)
|
| gptkbp:automorphismGroup |
PGL(8,C)
|
| gptkbp:Cartan_subalgebra_dimension |
7
|
| gptkbp:centralTo |
trivial
|
| gptkbp:defines |
Lie algebra of 8x8 complex matrices with trace zero
|
| gptkbp:dimensions |
63
|
| gptkbp:Dynkin_diagram |
gptkb:A_7
|
| gptkbp:fundamental_representation_dimension |
8
|
| gptkbp:highest_root |
sum of all simple roots
|
| https://www.w3.org/2000/01/rdf-schema#label |
special linear Lie algebra sl(8)
|
| gptkbp:Killing_form |
non-degenerate
|
| gptkbp:notation |
gptkb:A_7
sl(8,C) |
| gptkbp:rank |
7
complex numbers |
| gptkbp:realForm |
sl(8,R)
|
| gptkbp:type |
gptkb:Lie_group
gptkb:A_7 |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_8
|
| gptkbp:bfsParent |
gptkb:A_7
|
| gptkbp:bfsLayer |
8
|