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- Split-octonion abstract "In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers. Unlike the standard octonions, they contain non-zero elements which are non-invertible. Also the signatures of their quadratic forms differ: the split-octonions have a split-signature (4,4) whereas the octonions have a positive-definite signature (8,0).Up to isomorphism, the octonions and the split-octonions are the only two octonion algebras over the real numbers. There are corresponding split octonion algebras over any field F.".
- Split-octonion wikiPageID "3861649".
- Split-octonion wikiPageLength "9075".
- Split-octonion wikiPageOutDegree "31".
- Split-octonion wikiPageRevisionID "618270814".
- Split-octonion wikiPageWikiLink Alternative_algebra.
- Split-octonion wikiPageWikiLink Antisymmetric_tensor.
- Split-octonion wikiPageWikiLink Associative_property.
- Split-octonion wikiPageWikiLink Basis_(linear_algebra).
- Split-octonion wikiPageWikiLink Category:Octonions.
- Split-octonion wikiPageWikiLink Cayley–Dickson_construction.
- Split-octonion wikiPageWikiLink Composition_algebra.
- Split-octonion wikiPageWikiLink Cross_product.
- Split-octonion wikiPageWikiLink Determinant.
- Split-octonion wikiPageWikiLink Dirac_equation.
- Split-octonion wikiPageWikiLink Dot_product.
- Split-octonion wikiPageWikiLink Field_(mathematics).
- Split-octonion wikiPageWikiLink Inverse_element.
- Split-octonion wikiPageWikiLink Linear_combination.
- Split-octonion wikiPageWikiLink Mathematics.
- Split-octonion wikiPageWikiLink Matrix_(mathematics).
- Split-octonion wikiPageWikiLink Max_August_Zorn.
- Split-octonion wikiPageWikiLink Mnemonic.
- Split-octonion wikiPageWikiLink Moufang_loop.
- Split-octonion wikiPageWikiLink Multiplication_table.
- Split-octonion wikiPageWikiLink Octonion.
- Split-octonion wikiPageWikiLink Octonion_algebra.
- Split-octonion wikiPageWikiLink Quadratic_form.
- Split-octonion wikiPageWikiLink Real_number.
- Split-octonion wikiPageWikiLink Split-complex_number.
- Split-octonion wikiPageWikiLink Split-quaternion.
- Split-octonion wikiPageWikiLink File:SplitFanoPlane.svg.
- Split-octonion wikiPageWikiLinkText "Split-octonion".
- Split-octonion wikiPageWikiLinkText "Zorn's vector-matrix algebra".
- Split-octonion wikiPageWikiLinkText "split-octonion".
- Split-octonion wikiPageUsesTemplate Template:Arxiv.
- Split-octonion wikiPageUsesTemplate Template:Cite_book.
- Split-octonion wikiPageUsesTemplate Template:Doi.
- Split-octonion subject Category:Octonions.
- Split-octonion type Algebra.
- Split-octonion comment "In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers. Unlike the standard octonions, they contain non-zero elements which are non-invertible. Also the signatures of their quadratic forms differ: the split-octonions have a split-signature (4,4) whereas the octonions have a positive-definite signature (8,0).Up to isomorphism, the octonions and the split-octonions are the only two octonion algebras over the real numbers.".
- Split-octonion label "Split-octonion".
- Split-octonion sameAs Q3348988.
- Split-octonion sameAs Octonion_déployé.
- Split-octonion sameAs m.0b3stw.
- Split-octonion sameAs Q3348988.
- Split-octonion wasDerivedFrom Split-octonion?oldid=618270814.
- Split-octonion isPrimaryTopicOf Split-octonion.