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gptkbp:instanceOf
|
gptkb:algebra
|
|
gptkbp:application
|
gptkb:geometry
gptkb:theoretical_physics
differential geometry
functional analysis
geometry of symmetric spaces
theory of von Neumann algebras
|
|
gptkbp:basisFor
|
gptkb:Vector
|
|
gptkbp:category
|
non-associative algebras
|
|
gptkbp:class
|
gptkb:nilpotent_Jordan_algebras
gptkb:semisimple_Jordan_algebras
simple Jordan algebras
|
|
gptkbp:definedIn
|
commutative, non-associative algebra
|
|
gptkbp:dimensions
|
infinite-dimensional
finite-dimensional
|
|
gptkbp:example
|
self-adjoint part of a C*-algebra
|
|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:generalizes
|
associative algebras
|
|
gptkbp:hasAxiom
|
(x^2∘y)∘x = x^2∘(y∘x)
x∘y = y∘x
|
|
gptkbp:hasProperty
|
simple
flexible
special
exceptional
commutative
non-associative
power-associative
unital
semisimple
Euclidean
formally real
|
|
gptkbp:hasSubfield
|
abstract algebra
|
|
gptkbp:hasType
|
gptkb:exceptional_Jordan_algebra
gptkb:special_Jordan_algebra
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Jordan algebras
|
|
gptkbp:introducedIn
|
1934
|
|
gptkbp:namedAfter
|
gptkb:Pascual_Jordan
|
|
gptkbp:notableExample
|
gptkb:Albert_algebra
|
|
gptkbp:operator
|
symmetric product
Jordan product
|
|
gptkbp:relatedTo
|
gptkb:Lie_algebras
quadratic forms
associative algebras
projective planes
symmetric cones
|
|
gptkbp:studiedBy
|
gptkb:Eugene_Wigner
gptkb:John_von_Neumann
|
|
gptkbp:usedIn
|
quantum mechanics
|
|
gptkbp:bfsParent
|
gptkb:magic_square_(Freudenthal–Tits_construction)
|
|
gptkbp:bfsLayer
|
7
|