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- Okubo_algebra abstract "In algebra, an Okubo algebra or pseudo-octonion algebra is an 8-dimensional non-associative algebra similar to the one studied by Susumu Okubo (1978). Okubo algebras are composition algebras, flexible algebras (A(BA) = (AB)A), Lie admissible algebras, and power associative, but are not associative, not alternative algebras, and do not have an identity element.Okubu's example was the algebra of 3 by 3 trace zero complex matrices, with the product of X and Y given by aXY + bYX – Tr(XY)I/3 where I is the identity matrix and a and b satisfy a + b = 3ab = 1. The Hermitian elements form an 8-dimensional real non-associative division algebra. A similar construction works for any cubic alternative separable algebra over a field containing a primitive cube root of unity. An Okubo algebra is an algebra constructed in this way from the trace 0 elements of a degree 3 central simple algebra over a field.".
- Okubo_algebra wikiPageExternalLink books?id=Tr3qQugHUvQC.
- Okubo_algebra wikiPageID "39255698".
- Okubo_algebra wikiPageLength "1832".
- Okubo_algebra wikiPageOutDegree "12".
- Okubo_algebra wikiPageRevisionID "703131217".
- Okubo_algebra wikiPageWikiLink Alternative_algebra.
- Okubo_algebra wikiPageWikiLink Cambridge_University_Press.
- Okubo_algebra wikiPageWikiLink Category:Non-associative_algebras.
- Okubo_algebra wikiPageWikiLink Central_simple_algebra.
- Okubo_algebra wikiPageWikiLink Composition_algebra.
- Okubo_algebra wikiPageWikiLink Flexible_algebra.
- Okubo_algebra wikiPageWikiLink Hermitian_matrix.
- Okubo_algebra wikiPageWikiLink Lie-admissible_algebra.
- Okubo_algebra wikiPageWikiLink Non-associative_algebra.
- Okubo_algebra wikiPageWikiLink Power_associativity.
- Okubo_algebra wikiPageWikiLink Ruggero_Santilli.
- Okubo_algebra wikiPageWikiLink Trace_(linear_algebra).
- Okubo_algebra wikiPageWikiLinkText "Okubo algebra".
- Okubo_algebra wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Okubo_algebra wikiPageUsesTemplate Template:Citation.
- Okubo_algebra wikiPageUsesTemplate Template:Eom.
- Okubo_algebra wikiPageUsesTemplate Template:Harvs.
- Okubo_algebra subject Category:Non-associative_algebras.
- Okubo_algebra type Algebra.
- Okubo_algebra comment "In algebra, an Okubo algebra or pseudo-octonion algebra is an 8-dimensional non-associative algebra similar to the one studied by Susumu Okubo (1978).".
- Okubo_algebra label "Okubo algebra".
- Okubo_algebra sameAs Q17099522.
- Okubo_algebra sameAs m.0t_fpm6.
- Okubo_algebra sameAs Q17099522.
- Okubo_algebra wasDerivedFrom Okubo_algebra?oldid=703131217.
- Okubo_algebra isPrimaryTopicOf Okubo_algebra.