|
gptkbp:instanceOf
|
gptkb:algebra
non-associative algebra
|
|
gptkbp:automorphismGroup
|
gptkb:G2
|
|
gptkbp:basisFor
|
1
e4
e1
e5
e2
e3
e6
e7
|
|
gptkbp:contains
|
quaternion algebra
|
|
gptkbp:dimensions
|
8
|
|
gptkbp:discoveredBy
|
gptkb:Arthur_Cayley
gptkb:John_T._Graves
|
|
gptkbp:discoveredIn
|
1843
|
|
gptkbp:flexibility
|
true
|
|
gptkbp:generalizes
|
quaternions
complex numbers
real numbers
|
|
gptkbp:hasConjugation
|
true
|
|
gptkbp:hasNorm
|
true
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
octonion algebra
|
|
gptkbp:isAlternativeAlgebra
|
true
|
|
gptkbp:isAlternativeDivisionAlgebra
|
true
|
|
gptkbp:isAssociative
|
false
|
|
gptkbp:isCayleyDicksonAlgebra
|
true
|
|
gptkbp:isCommutative
|
false
|
|
gptkbp:isCompositionAlgebra
|
true
|
|
gptkbp:isExceptionalAlgebra
|
true
|
|
gptkbp:isFiniteDimensional
|
true
|
|
gptkbp:isNonassociative
|
true
|
|
gptkbp:isNoncommutative
|
true
|
|
gptkbp:isNormedAlgebra
|
true
|
|
gptkbp:isNormedDivisionAlgebra
|
true
|
|
gptkbp:isPowerAssociative
|
true
|
|
gptkbp:isRealAlgebra
|
true
|
|
gptkbp:isSimpleAlgebra
|
true
|
|
gptkbp:isUnitalAlgebra
|
true
|
|
gptkbp:multiplicationTable
|
gptkb:Fano_plane
|
|
gptkbp:rank
|
real numbers
|
|
gptkbp:relatedTo
|
gptkb:Cayley_algebra
gptkb:division
gptkb:exceptional_Lie_groups
gptkb:Hurwitz's_theorem
|
|
gptkbp:usedIn
|
gptkb:geometry
gptkb:special_relativity
gptkb:theoretical_physics
gptkb:string_theory
|
|
gptkbp:bfsParent
|
gptkb:Cayley_algebra
gptkb:exceptional_Lie_groups
|
|
gptkbp:bfsLayer
|
6
|