Properties (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
hypercomplex numbers
|
| gptkbp:application |
string theory
computer graphics control theory quantum_mechanics |
| gptkbp:characteristics |
distributive property
existence of identity existence of inverses existence of zero element |
| gptkbp:defines |
octonions
|
| gptkbp:depicts |
gptkb:Cayley_graph
Cayley table projective plane Fano plane octonionic projective plane |
| gptkbp:dimensions |
8
|
| gptkbp:historical_significance |
contribution to algebra
contribution to analysis generalization of complex numbers generalization of quaternions development_of_non-Euclidean_geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley numbers
|
| gptkbp:is_a_key_component_of |
0
1 |
| gptkbp:isConsidered |
defined
|
| gptkbp:length |
defined
|
| gptkbp:namedAfter |
gptkb:Arthur_Cayley
|
| gptkbp:notablePerson |
gptkb:Michael_Atiyah
gptkb:Nicolas_Bourbaki gptkb:David_Hilbert gptkb:Roger_Penrose gptkb:John_Baez |
| gptkbp:operations |
commutative
non-commutative non-associative |
| gptkbp:related_to |
field theory
loops category theory homotopy theory topological spaces group theory ring theory algebras spinors module theory quasigroups |
| gptkbp:relatedTo |
Lie groups
differential geometry mathematical physics algebraic topology projective geometry |
| gptkbp:structureType |
vector space
|
| gptkbp:subclass |
complex numbers
real numbers quaternions |