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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
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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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antisymmetric tensor
alternating tensor
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gptkbp:definedIn
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gptkb:Vector
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gptkbp:dimensions
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2^n (for n-dimensional vector space)
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gptkbp:field
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gptkb:mathematics
abstract algebra
linear algebra
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gptkbp:generalizes
|
cross product
determinant
scalar triple product
|
|
https://www.w3.org/2000/01/rdf-schema#label
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Grassmann algebra
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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
|
|
gptkbp:usedIn
|
gptkb:theoretical_physics
gptkb:topology
differential geometry
multilinear algebra
|
|
gptkbp:bfsParent
|
gptkb:Lie_group
|
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gptkbp:bfsLayer
|
5
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