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- Albert_algebra abstract "In mathematics, an Albert algebra is a 27-dimensional exceptional Jordan algebra. They are named after Abraham Adrian Albert, who pioneered the study of non-associative algebras, usually working over the real numbers. Over the real numbers, there are three such Jordan algebras up to isomorphism. One of them, which was first mentioned by Jordan, Neumann & Wigner (1934) and studied by Albert (1934), is the set of 3×3 self-adjoint matrices over the octonions, equipped with the binary operationwhere denotes matrix multiplication. Another is defined the same way, but using split octonions instead of octonions. The final is constructed from the non-split octonions using a different standard involution.Over any algebraically closed field, there is just one Albert algebra. For example, the complexifications of the three Albert algebras over the real numbers are isomorphic Albert algebras over the complex numbers. For a general field F, the Albert algebras are classified by the Galois cohomology group H1(F,G) where G is a simple split group of type F4.The Kantor–Koecher–Tits construction applied to an Albert algebra gives a form of the E7 Lie algebra.".
- Albert_algebra wikiPageExternalLink books?isbn=0387954473.
- Albert_algebra wikiPageExternalLink books?isbn=3540663371.
- Albert_algebra wikiPageID "9153180".
- Albert_algebra wikiPageRevisionID "602003378".
- Albert_algebra hasPhotoCollection Albert_algebra.
- Albert_algebra subject Category:Non-associative_algebras.
- Albert_algebra type Abstraction100002137.
- Albert_algebra type Algebra106012726.
- Albert_algebra type Cognition100023271.
- Albert_algebra type Content105809192.
- Albert_algebra type Discipline105996646.
- Albert_algebra type KnowledgeDomain105999266.
- Albert_algebra type Mathematics106000644.
- Albert_algebra type NonassociativeAlgebras.
- Albert_algebra type PsychologicalFeature100023100.
- Albert_algebra type PureMathematics106003682.
- Albert_algebra type Science105999797.
- Albert_algebra comment "In mathematics, an Albert algebra is a 27-dimensional exceptional Jordan algebra. They are named after Abraham Adrian Albert, who pioneered the study of non-associative algebras, usually working over the real numbers. Over the real numbers, there are three such Jordan algebras up to isomorphism.".
- Albert_algebra label "Albert algebra".
- Albert_algebra label "جبر ألبرت".
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- Albert_algebra sameAs Q12204658.
- Albert_algebra sameAs Q12204658.
- Albert_algebra sameAs Albert_algebra.
- Albert_algebra wasDerivedFrom Albert_algebra?oldid=602003378.
- Albert_algebra isPrimaryTopicOf Albert_algebra.