Hurwitz's theorem (composition algebras)
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:octonions
quaternions complex numbers real numbers |
| gptkbp:category |
theorems in algebra
|
| gptkbp:concerns |
gptkb:composition_algebras
|
| gptkbp:field |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hurwitz's theorem (composition algebras)
|
| gptkbp:implies |
no other finite-dimensional normed division algebras over the reals exist
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
|
| gptkbp:provenBy |
1898
|
| gptkbp:relatedTo |
gptkb:Cayley–Dickson_construction
gptkb:Frobenius_theorem |
| gptkbp:state |
the only normed division algebras over the real numbers are the real numbers, complex numbers, quaternions, and octonions
|
| gptkbp:bfsParent |
gptkb:Adolf_Hurwitz
|
| gptkbp:bfsLayer |
5
|