E 8 (split real form Lie algebra)
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:associated_Lie_group |
E_8 (split real form Lie group)
|
| gptkbp:automorphismGroup |
E_8 (split real form Lie group)
|
| gptkbp:Cartan_subalgebra_dimension |
8
|
| gptkbp:dimensions |
248
|
| gptkbp:Dynkin_diagram |
gptkb:E_8_Dynkin_diagram
|
| gptkbp:field |
real numbers
|
| gptkbp:has_compact_real_form |
E_8 (compact real form Lie algebra)
|
| gptkbp:has_complexification |
E_8 (complex Lie algebra)
|
| https://www.w3.org/2000/01/rdf-schema#label |
E 8 (split real form Lie algebra)
|
| gptkbp:Killing_form_signature |
+128, -120
|
| gptkbp:maximal_compact_subalgebra |
so(16)
|
| gptkbp:rank |
8
|
| gptkbp:real_rank |
8
|
| gptkbp:realForm |
E_8 (complex Lie algebra)
|
| gptkbp:split_form |
true
|
| gptkbp:type |
gptkb:Lie_group
gptkb:E_8_root_system gptkb:exceptional_Lie_algebra |
| gptkbp:bfsParent |
gptkb:E_8_(split_real_form)
|
| gptkbp:bfsLayer |
8
|