Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
Algebraic structures
Mathematical constructions |
| gptkbp:field |
gptkb:algebra
|
| gptkbp:firstPublished |
1919
|
| gptkbp:generalizes |
complexification
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley–Dickson construction
|
| gptkbp:input |
algebra over a field
|
| gptkbp:namedAfter |
gptkb:Arthur_Cayley
gptkb:Leonard_Eugene_Dickson |
| gptkbp:output |
algebra of twice the dimension
|
| gptkbp:property |
produces non-associative algebras for n > 2
produces non-commutative algebras for n > 1 |
| gptkbp:relatedTo |
gptkb:division
gptkb:Hurwitz's_theorem normed division algebra |
| gptkbp:usedFor |
constructing algebras of dimension 2^n over a field
|
| gptkbp:usedToConstruct |
gptkb:sedenions
gptkb:octonions quaternions complex numbers |
| gptkbp:bfsParent |
gptkb:Arthur_Cayley
|
| gptkbp:bfsLayer |
5
|