Revision #545 → #1211 · back to history
addedExterior algebra89c4a6321207
addedSimple k-vector / bladef0569d029702
addedk-vector and multivector48ac57f98f26
addedk-th exterior powerd1d5c6a62e8e
addedExterior algebra as graded algebra9ffbf298236e
addedUniversal property (informal)ef3cd6a24d37
addedArea of parallelogram via determinantaf50dbdaaa76
addedExterior product yields signed area6993b36c45c5
addedAxiomatic properties of signed areab6a1dd774a1c
addedExterior product and cross product in R^39e96da334778
addedTriple product as exterior product of three vectors0f3f152a1b0f
addedFormal definition of exterior algebrae9c69d0f7e77
addedExterior product on Lambda(V)be9205d83f96
addedAlternating property78da00d08bc2
addedAnticommutativity from alternating06ce1553679f
addedPermutation sign formula1e61c5e6c419
addedLinear dependence criterion via wedgee7a594a8819c
addedk-th exterior power (formal)e413b2f6c400
addedDecomposable k-vector (blade)0ba21659520b
addedNon-decomposable 2-vectorc5797dfbdb61
addedBasis of the k-th exterior power422240e64af8
addedDimension of k-th exterior powera8dc768a9321
addedDirect sum decomposition of exterior algebraf218c53eeb9e
addedRank of a k-vector5e0abd672951
addedRank of 2-vector via coefficient matrixa40cd9701901
addedRank-p characterization in characteristic 07e06daf089b0
addedGraded algebra structure1dedf30ebefe
addedGraded anticommutativitydf483ce218f3
addedUniversal property of exterior algebra46b9c0157332
addedExterior algebra of a module7fbe9f3ae0d3
addedIdentification with antisymmetric tensors8a34d837fced
addedAntisymmetrization of a decomposable tensor1634df6423bc
addedIsomorphism via antisymmetrization (char 0)45f1e239744c
addedAlternating tensor in index notation8989b612557a
addedExterior product in index notation6e277a14e5e3
addedInterior product in index notation1fd2a1ce4852
addedAlternating operatorbd1fd53df1a7
addedUniversal property of alternating operatorsbee44559524d
addedAlternating multilinear formaedc01fbe3b0
addedAlternating forms iso with dual exterior poweref9a979b17d5
addedAlternation Alt of a multilinear map6a2ad7f14fe8
addedInterior product (antiderivation)bc0b0b3fdc85
addedAxiomatic properties of interior product63e8dad8aace
addedHodge duality isomorphismd48696c42991
addedVolume / orientation forme5575f981e3f
addedHodge star operatora72fa829697a
addedHodge star squared as identity multiple1cbd8eba83ca
addedInner product on exterior algebra5aef24b0c05f
addedOrthonormal basis of exterior powera2553b06e260
addedAdjointness of exterior and interior productc627f27b7938
addedBialgebra/Hopf structure on exterior algebra31fbcc09f597
addedCoproduct on exterior algebra2e4cedc21636
addedCounit of exterior algebrace13fbc48bca
addedAntipode making exterior algebra a Hopf algebraaa9b48f612bd
addedFunctoriality of exterior algebra5829d58aa5fc
addedTop exterior power gives determinant892b6c228c51
addedExactness of induced exterior sequence272aa43e5fc6
addedExterior algebra of a direct sum0a8cd4355aee
addedNatural filtration from short exact sequence60b47aef15e6
addedOriented k-dimensional volume in affine space451d51170ae2
addedBoundary simplex volumes sum to zerob7fb0b3dfd82
addedDeterminant via exterior product of columns89e698071359
addedElectromagnetic field as differential 2-forma129e0592eea
addedGeometric interpretation of decomposable k-vectors728377a26580
addedPlücker embedding of Grassmannian1b7418dc9778
addedDifferential forms via exterior algebra19d148ebae49
addedde Rham cohomology from exterior algebrab9d92794591d
addedLie algebra chain complex via exterior algebra8ae2acdd4fb2
addedJacobi identity characterization of Lie algebrasea6c4da27c8d