Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:BottPeriodicity |
Cl(n+8) ≅ Cl(n) ⊗ M_{16}(ℝ)
|
| gptkbp:centralTo |
ℝ
|
| gptkbp:dimensions |
256
|
| gptkbp:evenSubalgebra |
Cl(8)^+ ≅ Cl(7)
|
| gptkbp:field |
real numbers
|
| gptkbp:generation |
8 orthogonal elements
|
| https://www.w3.org/2000/01/rdf-schema#label |
Clifford algebra Cl(8)
|
| gptkbp:isomorphicTo |
M_{16}(ℝ)
|
| gptkbp:notation |
Cl(8)
Cl_{8}(ℝ) |
| gptkbp:recurrence |
gptkb:Bott_periodicity
|
| gptkbp:relatedConcept |
gptkb:octonions
triality spinor representation |
| gptkbp:signature |
Euclidean signature
(8,0) |
| gptkbp:spinGroup |
gptkb:Spin(8)
|
| gptkbp:usedIn |
gptkb:geometry
mathematical physics representation theory |
| gptkbp:bfsParent |
gptkb:Spin(8)
|
| gptkbp:bfsLayer |
7
|