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Exterior algebra

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle V,} which has a product, called exterior product or wedge product and denoted with ∧ {\displaystyle \wedge } , such that v ∧ v = 0 {\displaystyle v\wedge v=0} for every vector v {\displaystyle v} in V…

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Alternating tensor algebra

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Exterior algebra

Nodes187
Edges186
Triples76
Avg. degree1.99
Density0.010695
Components1

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Exterior algebra

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related to history · 12
Exterior algebra → Ausdehnungslehre, Cayley, Extension, Grassmann, Hermann Grassmann, In, It, Saint-Venant, Sylvester's, The, Theory, This
related to Generalizations · 11
Exterior algebra → Bourbaki, Exterior, Generalizations, Given, It, Many, More, Serre, Swan, There, Where
related to Alternating tensor algebra · 7
Exterior algebra → Arnold, But, For, Kobayashi-Nomizu, Let, Of, This
related to Bialgebra structure · 5
Exterior algebra → Delta, Hopf, See, The, There
related to Differential geometry · 5
Exterior algebra → An, As, Differential, Equivalently, The
related to Oriented volume in affine space · 5
Exterior algebra → If, In, PQ, The, This
related to Universal property · 5
Exterior algebra → Formally, Given, In, Informally, Let
related to Cross and triple products · 4
Exterior algebra → Bringing, For, The, Using
related to Representation theory · 4
Exterior algebra → Fundamental, In, Schur, Together
is a · 3
Exterior algebra → direct sum, direct sum of the k, main ingredient in the construction of the Koszul complex

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displaystyle exterior product algebra textstyle bigwedge alternating space vector vectors wedge tensor defined given elements basis linear form field two

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SubjectPredicateObjectConfidenceSrc
Exterior algebrais adirect sum of the k0.90text
Exterior algebrais adirect sum0.90text
Exterior algebrais amain ingredient in the construction of the Koszul complex0.90text
Exterior algebrarelated to Alternating tensor algebraFor0.60section
Exterior algebrarelated to Alternating tensor algebraBut0.60section
Exterior algebrarelated to Alternating tensor algebraArnold0.60section
Exterior algebrarelated to Alternating tensor algebraOf0.60section
Exterior algebrarelated to Alternating tensor algebraKobayashi-Nomizu0.60section
Exterior algebrarelated to Alternating tensor algebraLet0.60section
Exterior algebrarelated to Alternating tensor algebraThis0.60section
Exterior algebrarelated to Bialgebra structureThere0.60section
Exterior algebrarelated to Bialgebra structureThe0.60section

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