Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:alsoKnownAs |
gptkb:octonion_algebra
|
| gptkbp:automorphismGroup |
gptkb:G2
|
| gptkbp:basisFor |
1, e1, e2, e3, e4, e5, e6, e7
|
| gptkbp:composition_algebra |
true
|
| gptkbp:contains |
quaternion algebra
|
| gptkbp:dimensions |
8
|
| gptkbp:discoveredBy |
gptkb:Arthur_Cayley
|
| gptkbp:hasNorm |
quadratic form
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley algebra
|
| gptkbp:multiplication |
nonassociative
noncommutative |
| gptkbp:nonassociative |
true
|
| gptkbp:rank |
gptkb:Field
|
| gptkbp:relatedTo |
gptkb:exceptional_Lie_groups
gptkb:Hurwitz's_theorem gptkb:octonions normed division algebra |
| gptkbp:usedIn |
gptkb:algebra
gptkb:geometry gptkb:theoretical_physics |
| gptkbp:bfsParent |
gptkb:Arthur_Cayley
|
| gptkbp:bfsLayer |
5
|