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gptkbp:instanceOf
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gptkb:algebra
|
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gptkbp:alsoKnownAs
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exterior algebra
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gptkbp:application
|
gptkb:algebraic_geometry
gptkb:quantum_field_theory
gptkb:string_theory
calculus on manifolds
integration of differential forms
|
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gptkbp:basisFor
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multivector
k-vector
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gptkbp:containsElement
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gptkb:antisymmetric_tensor
alternating tensor
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gptkbp:definedIn
|
gptkb:Vector
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gptkbp:dimensions
|
2^n (for n-dimensional vector space)
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gptkbp:field
|
gptkb:mathematics
abstract algebra
linear algebra
|
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gptkbp:generalizes
|
gptkb:determinant
cross product
scalar triple product
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gptkbp:introducedIn
|
1844
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gptkbp:namedAfter
|
gptkb:Hermann_Grassmann
|
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gptkbp:operator
|
wedge product
exterior product
|
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gptkbp:property
|
associative
graded algebra
anticommutative
|
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gptkbp:publishedIn
|
Die lineale Ausdehnungslehre (1844)
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gptkbp:relatedTo
|
gptkb:Lie_group
tensor algebra
differential forms
|
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gptkbp:usedIn
|
gptkb:theoretical_physics
gptkb:topology
differential geometry
multilinear algebra
|
|
gptkbp:bfsParent
|
gptkb:Hermann_Grassmann
gptkb:Clifford_algebras
|
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gptkbp:bfsLayer
|
7
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|
https://www.w3.org/2000/01/rdf-schema#label
|
Grassmann algebra
|